The Fairport Hospital is a location seen in a trailer for F.E.A.R. 3.
Seen in the first trailer, the hospital is where Alma is giving birth to her third child. The Point Man is also shown fighting his way to get into the hospital, and when he gets there he finds that Paxton Fettel is already there, fighting off several unknown gunmen (most likely ATC) using telekinesis.
However, though it appears in the trailer, this place does not appear in the game.