Check out Benoit Lelievre's excellent review of THE MAN WITH THE GETAWAY FACE.
When the bandages came off, Parker looked in the mirror at a strange. He nodded to the stranger and looked beyond at the reflection of Dr. Adler.
Parker had been at the sanitarium a little over four weeks now. He had come with a face that the New York syndicate wanted to put a bullet in, and now he was going back out with a face that meant nothing to anyone.
The mysterious Parker paid a visit to a plastic surgeon at the end of THE HUNTER, because there was somewhat of an Outfit bounty on his head. THE MAN WITH THE GETAWAY FACE picks up a couple of weeks after the surgery as the bandages are coming off. Parker is low on cash, so he accepts a job from Skimm, an old acquaintance who found a way to contact him at the sanitarium.