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In 1902, Jim "Red" Callahan played a single game with the New York Giants in Chicago. According to Baseball-Reference, he had four at-bats, struck out three times, and walked once. He went on to play with McKeesport and Akron in 1905, returned to Akron from 1906 - 1908, moved to Springfield in 1909 and Rock Island in 1910. This mostly tracks his card in the Sporting News Player Card database, which shows him continuing with Indianapolis, Terre Haute, and Grand Rapids in 1911, along with a brief stint with Pittsfield prior to the 1913 season.

Baseball-Reference shows Tim Callahan with Terre Haute and Grand Rapids in 1911.

A search for Tim Callahan in the newspapers of the time turns up an article in the Akron Beacon Journal on February 21, 1907. It described how in Tim Callahan's one game in the majors with the Giants several years ago, he managed a walk to lead off the game. The player in the coaching box "happened upon a nickname for the little Irishman... [which] was not at all liked by Callahan." He "made free use of Tim's new handle" to the degree that Callahan got rattled and was thrown out stealing a yard away from the second base bag. For the rest of the game the players continued this, and following the game Callahan went back to his hotel room, and by the next morning he was gone.

This article explicitly notes that "Tim's" name is James. A subsequent article from 1909 notes that Callahan's neighbor was allegedly Honus Wagner, who got Tim his shot with the Giants.

Jim "Red" Callahan was from Carnegie, Pittsburgh. In 1913, Red Callahan, described as "the popular Carnegie boy", played with the Pittsburgh Federals. It seems likely this was the bookend to his professional career, which started with the game for the New York Giants in 1902.

Pictures of both Tim Callahan, with Akron, and Callahan of the Federals are presented below, published in 1908 and 1913, respectively.