The Elwes Baronetcy (/ˈɛlwɪs/) of Stoke-by-Clare in the County of Suffolk, was a title in the Baronetage of England held by the Elwys family, whose name through the years has alternately been spelled Helwish, Helewise, Helwys, Elwaiss and Elwaies.

[2] The baronetcy was created on 22 June 1660 by King Charles II for Gervase Elwes, Member of Parliament for Sudbury and Suffolk.

[2] The title possibly became either extinct or dormant following the death of the third Baronet on 26 November 1778, under unclear circumstances.

However, after the death of the third Baronet's widow, Johanna Elwes (née Bobulia), none of the sons appeared to prove her will, lending credence that she was not their mother.

According to The Complete Baronetage (1904), the third Baronet dspm legit (decessit sine prole mascula legitima – "died without legitimate male issue").