[Zoidberg]

I really did like the story. The plot was good, and the way you wrote was pretty good too. There was a couple problems though.

Hank shot him between the eyes and he fell to the dirty floor dead.

I think you need a comma after floor.

Also,

Scanning the room, he spotted two men at the bar, a third talking to one of the barmaids and heard a poker game going on. He maneuvered so that he could see the poker table. His heart skipped a beat as he saw the four men he had been hunting for so long. Washburn was closest to him, but his back was to Hank. To his left was Jenkins; Walter One-Horse sat across from Deke and Bellows was across from Jenkins. They had not heard him come in, nor had anyone else. Hank moved to an empty table with a bottle on it. Picking up the bottle, he threw it against the wall beside the killers. When they jumped toward the noise, Hank jumped into view and called out "Hands up, boys. You're under arrest." Slowly the men turned toward the stranger with their hands half raised. Deke Washburn spoke, "Who are you mister? Bounty hunter? What have we done?"

I think you need some paragraphing there. The dialogue should be seperated.

I like the following dialogue. It's almost like something Clint Eastwood would say:

But, since you're wanted, I'll collect the bounty on all you boys, and remember it says Dead or Alive. Your choice."

Also, what would your other chapters have in them? Aren't all the outlaws dead or injured?

Good Story.