Some fathers in dubious situations:

Bungle Rye - Clancys, Dubliners, Gordon Bok, Corries, etc.

Rocking The Cradle - Ian Campbell Group

The Cherry Tree Carol - (Pick your favorite version)

or Cry of a Tiny Babe - Bruce Cockburn w/ Lou Reed, Roseanne Cash & Rob Wasserman (on a CD of The Columbia Records Radio Hour Vol.1) for views of the "ultimate stepfather" Hail Joseph!

Unwed Fathers - John Prine

The Bedmaking - Martin Carthy