The Collaborative International Dictionary of English v.0.48:
Shrievalty \Shriev"al*ty\, n. [Contr. from sheriffalty. See Shrieve, n. Sheriff.] The office, or sphere of jurisdiction, of a sheriff; sheriffalty. [1913 Webster] It was ordained by 28 Edward I that the people shall have election of sheriff in every shire where the shrievalty is not of inheritance. --Blackstone. [1913 Webster]