It was never told who Buzz's father was although some people think it's Commander Nebula (from the animated series).
Other people say that it is Zerg because of the scene in Toy Story 2
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They got it from Buzz Aldrin, the second man on the moon who traveled on the moon with Neil Armstrong.
Lunar Larry was Buzz Lightyear's original name.
Edwin Aldrin Sr.
Edwin Aldrin nick name is Buzz Aldrin.
Buzz Lightyear
Apollo 11 astronaut buzz Aldrin