Willis's Current notes: a series of articles on Antiquities, Biography, Heraldry, History, Languages, Literature, Natural History, Curious Customs, etc., selected from original letters and documents addressed during the year.... (complete title from British Library Catalogue)
LoC says the title Began with: no. 1 (Jan. 1851); ceased with: no. 84 (Dec. 1857).
(logista) has these volumes: