I was fooling around at Find A Grave last night and found a photo of Billy Redmon's grave. Interestingly, while neither baseball-reference nor David Nemec's Encyclopedia of 19th Century Major League Baseball gives biographical information for Redmon, Find A Grave lists the year of his birth as 1853 and his date of death as April 2, 1894.
Frank Russo, of The Deadball Era, adds this note to the Redmon entry:
Billy Redmon played Major League baseball in the 1870s, debuting with the National Association's St. Louis Red Stockings on May 4th, 1875. He appeared in 19 games that year, playing mostly at shortstop. With the demise of the NA at the end of the 1875 season, and the formation of the National League in 1876, Redmon found himself back in the Minor Leagues the next season. He reappeared back in the big leagues briefly in 1877 with a 3 game stint with the Cincinnati Reds. 1878 would prove to be his last, and busiest season as a major leaguer. Playing for the 6th place Milwaukee Grays, he appeared in 48 games, 39 at shortstop, 7 in the outfield, 3 at 3rd base and 1 game at catcher. He batted 262 that year with 21 RBI. After that season, he returned to the minors to finish out his career. After his career he became a carpenter and eventually died at the age of 40. In 70 league games, he accrued a lifetime average of .261 on 62 hits, with 25 RBI's in 281 at bats.
Redmon is buried at St. Matthews Cemetery in St. Louis and his last name is spelled "Readmon" on the tombstone. The grave photo was taken by Connie Nisinger.