Under the modified shared custody agreement, the girl will spend some holidays and school breaks with her mother, but most of the school year will be spent with James, whose ex-wife, actress Sandra Bullock, also has a home in Austin.
Lindemulder, lost custody of the girl when she went to prison for tax evasion.
James, 41, is a motorcycle entrepreneur and the former host of the television show "Monster Garage." He has two other children, a daughter and a son, by first wife Karla James.
The Associated Press contributed to this story.
