The name Eddy is a boy's name meaning "wealthy guardian". Eddy and discussed in our forums with posts like "Boys Makeover- Two Middles".
From the experts:
Eddy, recently used by Celine Dion for one of her twin boys, was chosen to honor Eddy Marnay, who produced her first five records. Though less common a nickname for Edward than Eddie, Eddy is used more often on its own.