Timebomb came from Little Lamplight, like everyone else in Big Town. He suffered heavy injuries in the last mutant attack, which also took Red and Shorty away. Timebomb was placed in the town's clinic, though there is little hope for him due to the town's only doctor missing. His name is all the more appropriate, although it was originally given to him due to his sudden mood swings, periods of calm punctuated by explosions of emotion and big disturbances.[1]
Curiously, it seems Bittercup took advantage of Timebomb while he was unconscious. She mentions having a relationship with the man, though the latter does not recall it. Conclusions... Unpleasant.
The script governing the festive spirit in Big Town once the supermutants are defeated fires regardless of Timebomb's state, making him temporarily stand up, clap, and wave, before returning to his normal state.
↑Fallout 3 Official Game Guide Game of the Year Edition p.100: "Timebomb Currently drugged and laid out in the operating room of Red's clinic, Timebomb was severely wounded during the last Super Mutant attack, when Red and Shorty were kidnapped. He is known as Timebomb due to his mood swings; he has prolonged periods of calm before instigating big disturbances." (Fallout 3 Official Game Guide Game of the Year Edition Wasteland Census)