Thomas Bird was not the son of William Bird & Mary Woodhall - the dates are all wrong.
Additionally, from https://www.wikitree.com/wiki/Bird-773:
Anderson's Great Migration Directory[1] states that Thomas' origins are unknown. A previous version of this profile showed his parents as William Bird and Mary Woodhall. Robert Charles Anderson, The Great Migration Directory, (NEHGS, 2015), p. 30.