They are likely a professional level team due to carrying the city's name and may represent the city in major league competitions. They are likely based on the Los Angeles Dodgers.
The Corkers' stadium can not be found anywhere in San Andreas; however, it is shown in a Logger Light commercial in Grand Theft Auto V.
The name "Corkers" is most likely a reference to the act of corking in major league baseball which is an illegal way of modifying your bat. Sammy Sosa and Albert Belle are both notable players who have been caught using a corked bat.