From Muppet Wiki

Daddy Dodo is the head of the Dodo family, and Big Bird's foster father in Follow That Bird.

Well-meaning if eccentric, neither Daddy nor Mommy Dodo can truly provide Big Bird with the love and affection he needs, and display a prejudice towards non-birds, such as Mr. Snuffleupagus. Daddy Dodo also exhibits an inability to operate riding lawnmowers, setting one loose in the yard, and a tendency towards exhaustion during the family's morning workout. He also gave Big Bird the moniker "Big Dodo" which upset Big Bird. He would try to force Big Bird to participate in the daily family activity of hunting worms despite Big Bird's reluctance. He seems not to take notice of this though. He drives a light blue cadillac and the word "DODO" is on the license plate.