Will Smith's production company is called Overbrook Entertainment. It's named for Philadelphia's Overbrook High School. Smith graduated from Overbrook, as did Wilt Chamberlain, Hal Lear, Wali Jones,...
A production company manages the filming of a movie from screenplay to release. It's main concerns involve managing the budget and supervising all legal concerns.
Adam Sandler's production company is called "Happy Madison." Happy for the movie he starred in intittled "Happy Gilmore." And, madison for the other movie he starred in called, "Billy Madison."