Team Logo. The Jacksonville Suns were a team in the Southern League. They were the Double-A affiliate of the Miami Marlins. In 2017 they changed their name to the Jacksonville Jumbo Shrimp. Retrieved from "https://prosportsteams.fandom.com/wiki/Jacksonville_Suns?oldid=16334" Categories: Former SL Teams Former IL Teams Teams in Florida Teams in Jacksonville Add category Cancel Save Community content is available under CC-BY-SA unless otherwise noted.