The Doctor and the Kid by Mike Resnick

The time is 1882. With the Gunfight at the O.K. Corral and the battle with the thing that used to be Johnny Ringo behind him, the consumptive Doc Holliday makes his way to Leadville, Colorado, with Kate Elder, where he plans to spend the rest of his brief life, finally moving in to the luxurious facility that specializes in his disease.But one night he gets a little too drunk—hardly a novelty for him—and loses everything he has at the gaming table. He realizes that he needs to replenish his bankroll, and quickly, so that he can live out his days in comfort under medical care. He considers his options and hits upon the one most likely to produce income in a hurry: he’ll use his skill as a shootist and turn bounty hunter.

The biggest reward is for the death of the young, twenty-year-old desperado known as Billy the Kid. It’s clear from the odds the Kid has faced and beaten, his miraculous escape from prison, and his friendship with the Southern Cheyenne, that he is protected by some powerful magic. Doc enlists the aid of both the magic of Geronimo and the science of Thomas Edison, and he goes out after his quarry. He will hunt the Kid down and either kill him and claim the reward or die in the process and at least end his own suffering.

But as he is soon to find out, nothing is as easy as it looks.

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