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In my case, a papadaddy is a father. My paternal grandfather was called Papa by my father who was called Daddy by me.

"'Papadaddy' Clyde Edgerton advises other 'older dads'". Interview with Bob Minzesheimer, www.usatoday.com. June 12, 2013.
In my case, a papadaddy is a father. My paternal grandfather was called Papa by my father who was called Daddy by me.