The Collaborative International Dictionary
Sheriffship
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.
Wiktionary
sheriffship
n. The office or jurisdiction of a sheriff.