Idris2002
canadian girlfriend
Ah OK (googles quickly):I think they do - her dad is the son of the former baronet, and her uncle is next in line (according to the internet)
A baronetcy is the only British hereditary honour that is not a peerage, with the exception of the Anglo-Irish Black Knights, White Knights and Green Knights (of whom only the Green Knights are extant).
Baronet - Wikipedia
en.wikipedia.org
That's where I got the "no inheritance of title" thing from - I was thinking of the fact that's not a peerage, you don't get to be a vermine in ermine (unlike say Paul Bew, who started out as an ornament of the British-Irish Communist Organization, and is now "Lord Bew of Doneygore in the County of Antrim").