As far as I know it a dead quest he ask about his son and Ive done 3 runs in the game and never found him I'm on my 4th run and if I find anything will let you know
There's a notice board at the hospital's front door The desperate father is a remain of a quest? Sure?I always thought it was just a stimulating story for the striga because the next thing what happens is the lion-hearted Velerad who gives Geralt access to the (Striga's) crypt.
You need to talk to him to get the story on the crypt. Then after the crypt if you have 5 cementaur jaw bones he will pay you for them if you got the contract from the board in front of the hospital.