Museum of History: Reilly's Rangers
Received from: Reilly [Museum of History - Underworld] or automatically when you're close enough to Our Lady of Hope hospital [Capitol Wasteland]
Solution: There are two ways for you to begin this mission. I doubt that you would want to visit Our Lady of Hope hospital on your own, but if you do find your way to that location you'll be allowed to listen to a distress call from Reilly's rangers. Remember that you must use your Pip-Boy to do this. The more probable employer is Reilly herself. The best moment to visit the Underworld is during your stay in the Museum of History. After being greeted in the Underworld and talking to the ghouls head over to the Chop Shop. Find unconscious Reilly and force one of the doctors to wake her up. You can also heal her yourself, but obviously you must have a high medicine skill to succeed.
Finding Reilly's rangers hideout:
During your first conversation with Reilly you should listen to what she has to say about other rangers and about an ambush. Reilly will ask you to save her colleagues and she will also tell you how to get to their main outpost. The place you should be looking for is called Reilly's rangers compound and it's located to the east of Museum of history. Getting to that area won't be easy. Obviously you will have to use subway tunnels, because a lot of main streets are blocked with debris. Start your trip near Metro central and end it near Seward Square - north. You don't have to visit Reilly's rangers compound right away, however I wouldn't recommend ignoring it, because at the end of this mission you'll still have to go there. I guess you won't be surprised to hear that there are a lot of monsters near the compound and you'll have to kill most of them before moving on. Be on a look out for a small alley. Eventually you'll get to a locked door (screen). Use a code provided by Reilly to gain access to the compound. Once inside spend some time finding ammunition and collecting other supplies. There's also a free bed here.
Finding Statesman Hotel:
As for means of reaching the hotel, you should follow Reilly's detailed instructions. This means you must begin your journey near Dupoint - north east and you must end it near Vernon Square. Get ready to eliminate a lot of supermutants on your way to your final destination (Reilly's rangers). I would recommend completing The replicated man quest before taking on this assignment, because you'll have a plasma rifle at your disposal. Find the antenna mentioned by Reilly or proceed to the hospital right away (screen). Be careful, though. There are a lot of landmines in front of the entrance, so you'll have to be careful while trying to enter this area. Open the door to get to the ground floor of Our Lady of Hope hospital.
I guess you won't be surprised to hear that the entire hospital is swarming with supermutants. You should also know that you'll be dealing mostly with brute and master variations of these monsters. As for ground floor, most of the beasts have gathered in the main reception hall (screen). You can use standard means of engagement to get rid of them or you may hack into one of the terminals to activate turrets. Sadly, the turrets won't kill all the creatures for you, so sooner or later you'll have to attack them on your own. I would recommend that you inspect the entire ground floor of the hospital. The southern area of the map is the most interesting one, because there are a lot of medical supplies scattered throughout the facility. If you're skilled enough, you can also break into a large stash and you'll get your hands on a lot of useful supplies. Head on to the stairs once you're done killing and exploring. Locate a door leading to the second floor of Our Lady of Hope hospital.
You must be extremely careful while exploring the second floor of the hospital, because you'll be dealing with gas leaks. As a result if you're not careful enough you may end up sending your main character in flames. Aside from new supermutants, you'll also have to eliminate a few centaurs. They're fairly easy to kill, but you must prevent them from surrounding you. Explore this entire floor and use the stairs to get to the next one. Eventually you'll get to a door leading to Vernon Square. Check the first aid kit, as well as ammunition stashes. Now you must use the large antenna (screen) to cross the gap between two buildings. After reaching a new building head down to a lower level and open a new door to get to Statesman Hotel - mid level.
Joining Reilly's Rangers:
Watch out for a rope in the first corridor, because if you move it you'll trigger a nasty trap. There are also a lot of other traps inside the hotel, so you should be moving slowly in order to avoid activating them. Remember that your objective is to get to get to the roof of the hotel, so you must be on a look out for staircases to get to upper floors of the structure. Once you've reached the first staircase you'll find Theo. Check his body and use a code handed over to you by Reilly to open his ammo box. There's a LOT of ammunition inside the box and obviously you should take it all, especially since the ammunition doesn't weigh anything in the game. Keep pushing towards upper floors. You'll eliminate a lot of supermutants along the way. Be on a look out for closed rooms, safes and stashes. If you're skilled in lockpicking you'll get your hands on some new equipment, including better guns, medicine, ammunition and explosives.
Your next area of interest is Statesman Hotel - restaurant. If you're skilled at repairing things, you will be presented with an opportunity to repair a service elevator. Otherwise you will have to go to the northern area of the hotel in order to find a new staircase. Either way, you'll have to get to the restaurant and you'll start the game in the northern section of the building. Obviously this means you must go south, because that's where the main room of the restaurant is located. I guess you won't be surprised to hear that this room is being guarded by new supermutants. Watch out for a supermutant master (screen), because he's equipped with a very powerful minigun. Use a rocket launcher or a fatman to get rid of him without having to engage him in an open combat. You could try sneaking around and using explosives against him, but it won't be necessary. Defeat all supermutants and use the stairs to get to the upper balcony. Now you must find a door leading to the roof of Statesman Hotel.
Thankfully you won't encounter any monsters on the roof. Your objective is to get to the highest point of the roof, because that's where Reilly's rangers are hiding. Approach them and wait for one of them (Butcher) to talk you. Butcher will tell you that in order to leave the hotel they must activate a nearby service elevator. This can only be done with a fission battery and you must acquire such an object. Go back to Statesman Hotel - restaurant. Thankfully, it's very easy to find the battery. Jump down from the balcony and look for a small room (screen). There's a destroyed protectron inside. Examine the machine and you'll get your hands on the missing part. Go back to the roof and give the battery to Donovan. You can also talk to other rangers and hand over ammunition to them. I would recommend doing this, because you'll receive additional bonuses for rescuing all of them. Wait for Donovan to repair the elevator and use it to get to the ground floor of the Statesman Hotel.
Once you've reached the ground floor get ready for the final battle to take place. It's not going to be easy, because you must prevent the supermutants from killing your friends. Start off by killing at least one supermutant. Once the creature has been killed, focus on the lower level, because one of the creatures is carrying a minigun (screen). It's extremely important that this supermutant dies quickly. Kill all monsters, loot their bodies and leave the hotel.
You should receive instructions that you must meet up with the rest of the rangers in Reilly's rangers compound. If you've been there before you can fast travel without any additional problems. Notice that Reilly has arrived in the compound in the meantime. Talk to her. If you saved all of her colleagues, she will give you a reward. You can choose between a minigun and Ranger battle armor. I'd strongly recommend taking the armor, because you can acquire the minigun from one of the supermutants. You can talk to Reilly again, as well as to her colleagues. Reilly will ask you to help her in mapping the Capitol Wasteland. For each unlocked primary location she can give you 20 bottle caps. That's a lot of money, considering that all you have to do is to visit new areas.