Heilman went 4-4 with a 4.11 ERA in 70 appearances for the Cubs last season. He was acquired from Seattle for left-handed pitcher Garrett Olson and infielder Ronny Cedeno on January 28, 2009.
Maine, 24, combined to go 4-5 with seven saves and a 2.90 ERA in 48 relief appearances with Double-A Mobile and Triple-A Reno in 2009. The sixth-round pick of the 2007 draft reached the Triple-A level in just his third pro season.
White, 23, hit .266 with six home runs for Single-A Visalia last season. He is a Chicago native and St. Rita grad.