Wrigley Alexander Fields was born Sept. 12 to Paul and Teri Fields of Michigan City.
"He can go by his middle name if he wants to," Paul Fields said. "We'll go with Wrigley for now."
The couple decided 15 years ago what they would name their son if their ever had one, the Gary (Ind.) Post-Tribune reported Sunday. The couple said both of their families are supportive of the name.
Cubs officials have no record of other children named Wrigley, though they have come across babies named Zambrano and Ryne after Cubs stars Carlos Zambrano and Ryne Sandberg, the Post-Tribune reported.