The Collaborative International Dictionary of English v.0.48:

Sheriffalty \Sher"iff*al*ty\, Sheriffdom \Sher"iff*dom\,
Sheriffry \Sher"iff*ry\, Sheriffship \Sher"iff*ship\,
Sheriffwick \Sher"iff*wick\, n.
   The office or jurisdiction of sheriff. See Shrievalty.
   [1913 Webster]