Mickey Rooney had many ties to Disney- he starred in Pete's Dragon and The Muppets, and provided voices for characters in Fox and the Hound and Lady and The Tramp II. It's a very impressive resume, however there's one thing Mr. Rooney repeatedly claimed in interviews that just wasn't true- that Walt Disney named Mickey Mouse after him.
In fact, Mickey Mouse was named by Walt Disney's wife, Lillian Disney, and there is no evidence to indicate that she or Walt had ever heard of Mickey Rooney at the time. In fact, Mr. Rooney wouldn't become a well known star until ten years after Mickey Mouse had already made his grand debut.