The Collaborative International Dictionary of English v.0.48:

Squiralty \Squir"al*ty\ (skw[imac]r"[a^]l*t[y^]), n.
   Same as Squirarchy.
   [1913 Webster]

         That such weight and influence be put thereby into the
         hands of the squiralty of my kingdom.    --Sterne.
   [1913 Webster]