In my experience, "Daddy" is a term for one's father that is used by children, and once a person gets a bit older, he's "Dad". It's not a term that a grown woman would call her father. However, in stories Lois always calls her dad "Daddy". It grates on me every time I read it because it makes her sound like a little girl or just plain whiny.
Do you writers have her use the term "Daddy" because that's what she calls him on the show, or is that the term you would use for him yourself? Is it a regional difference, an East-Coast thing perhaps, for grown women to call their dad "Daddy"?