Late 18th century; earliest use found in Robert Forbes (bap. 1708, d. 1775), Jacobite annalist and Scottish Episcopal bishop of Ross and Caithness. From perjink + -ly.
Definition of perjinkly in US English:
perjinkly
adverbpəˈdʒɪŋkli
Scottish rare
Precisely, scrupulously; fussily, primly.
Origin
Late 18th century; earliest use found in Robert Forbes (bap. 1708, d. 1775), Jacobite annalist and Scottish Episcopal bishop of Ross and Caithness. From perjink + -ly.