Alone in the Dark 3 (1994)

The main theme of this game is the Wild West, as Carnby is pitted against a town filled with "zombie cowboy outlaws" who attack him with revolvers and lever-action rifles. More traditionally mindless, shambling zombies begin to appear about midway through the game. (wikipedia.org).
Franchise: Alone in the Dark
AKA: Alone in the Dark: Ghosts in Town
Developer: Infogrames
Publisher: Infogrames