After finishing the quest Three-Card Bounty, 1st Recon will move to Camp Forlorn Hope and Sergeant Bitter-Root and Corporal Betsy will be found in the barracks. The beds are owned and cannot be used by the Courier.
The Camp Forlorn Hope barracks appears only in Fallout: New Vegas.
- Fallout: New Vegas Official Game Guide Collector's Edition, pp. 417-418: "Camp Forlorn Hope Barracks
Private Stone, a party of interest during Side Quest: Medical Mystery, usually stands outside here. Let’s just say his morale is at an all-time low. On the table in the adjoining room is a Note to steal; a letter about a brother writing his last letter to a sister. Private James Sexton is also here, and he’s a little more chipper than Stone, although he is in charge of camp morale. He’s having a competition; if you want in, begin Free Quest: An Ear to the Ground."
(Fallout: New Vegas Official Game Guide Collector's Edition Tour of the Mojave Wasteland)