There are a number of George Hamiltons, but if you are referring to the actor, no, Josh is not related to George.
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The cast of Hey Josh - 2009 includes: Josh Shipp as himself
Josh - 2009 was released on: USA: 4 September 2009 India: 5 September 2009
Josh Primo was waived from the team due to a decision made by the team management to release him from his contract.
Josh - 2009 is rated/received certificates of: India:UA (original rating)
Hey Josh - 2009 is rated/received certificates of: USA:E
Josh Duhamel married to Fergie in 2009
Josh & Anna got married in 2009
Josh Duhamel married to Fergie in 2009
Origins Josh Turner - 2009 TV was released on: USA: 17 December 2009
The cast of LOWbASiC - 2009 includes: Josh Intrator as Josh Thomas Seely as Thomas