The Collaborative International Dictionary of English v.0.48:

Fatherhood \Fa"ther*hood\, n.
   The state of being a father; the character or authority of a
   father; paternity.
   [1913 Webster]

WordNet (r) 3.0 (2006):

fatherhood
    n 1: the kinship relation between an offspring and the father
         [syn: fatherhood, paternity]
    2: God when considered as the first person in the Trinity; "hear
       our prayers, Heavenly Father" [syn: Father, Father-God,
       Fatherhood]
    3: the status of a religious leader
    4: the status of a father