No prizes for guessing what Simon Cowell wants to call his baby son. The music mogul's preferred choice of name for his first child is… wait for it… Simon. Simon Sr told ex-girlfriend Terri Seymour on 'Extra': "My number one choice is Simon because I like the name." Simon Cowell He added that his second choice for the tot is Eric after his late father, who died in 1999. "His birthday is going to ...