Jumping+Frog

I love frogs. In fact, as difficult as it is to believe, I am a reincarnated frog. Samuel Clemens, aka Mark Twain, wrote another story about frogs called, "[|The Notorious Jumping Frog of Calaveras County]." It is a humorous anectdote about a frog-jumping contest in which the protagonist forced lead shot down the throat of the frog that was favored to win so that he could rig the results and make a windfall from betting on another frog.

It seems to me, however, after re-reading "The Notorious Jumping Frog of Calaveras County," that the story alluded to here, "Jim Smiley and His Jumping Frog," is the same story. The characters seem to be the same. Does anyone know if these two stories are the same story with two different names?