There are a number of George Hamiltons, but if you are referring to the actor, no, Josh is not related to George.
Josh Beckett is number 61 on the Los Angeles Dodgers.
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Texas Rangers
Billy Hamilton plays for the Cincinnati Reds.
Josh Paul played in 2 games at outfield for the Los Angeles Angels of Anaheim in 2005, starting in none of them. He played for a total of 9 outs, equivalent to .33 9-inning games. He made no putouts, had no assists, and committed no errors, equivalent to 0 errors per 9-inning game. He had no double plays.
Josh Paul played in 2 games at left field for the Los Angeles Angels of Anaheim in 2005, starting in none of them. He played for a total of 9 outs, equivalent to .33 9-inning games. He made no putouts, had no assists, and committed no errors, equivalent to 0 errors per 9-inning game. He had no double plays.
Josh Hamilton played in 6 games at center field for the Los Angeles Angels of Anaheim in 2013, starting in all of them. He played for a total of 159 outs, equivalent to 5.89 9-inning games. He made 13 putouts, had one assist, and committed no errors, equivalent to 0 errors per 9-inning game. He had no double plays.
Josh Hamilton played in 19 games at left field for the Los Angeles Angels of Anaheim in 2013, starting in all of them. He played for a total of 484 outs, equivalent to 17.93 9-inning games. He made 52 putouts, had no assists, and committed no errors, equivalent to 0 errors per 9-inning game. He had no double plays.
Josh Hamilton debuted on April 2, 2007, playing for the Cincinnati Reds at Great American Ball Park; he played his final game on September 29, 2013, playing for the Los Angeles Angels of Anaheim at Angel Stadium of Anaheim.
Josh Hamilton played in 83 games at right field for the Los Angeles Angels of Anaheim in 2013, starting in 80 of them. He played for a total of 2151 outs, equivalent to 79.67 9-inning games. He made 171 putouts, had 3 assists, and committed 8 errors, equivalent to .1 errors per 9-inning game. He had no double plays.
Josh Beckett plays for the Los Angeles Dodgers.