According to Keith Vincent's book ('Nailsea Glass'), there certainly were pieces of genuine Nailsea glass - generally of some uniform shade of bottle green or darker with paler chips marvered in) that were decorated with a limited amount of hand applied threading - but unlike those shown here.
However, these were made prior to Hodgetts' invention in 1876 whereby mechanical means were used.
Apparently other houses came up with their own inventions of machines for threading within a very short time, so I'd have thought attribution nigh on impossible.
We've had lots of chats on Nailsea over the years, on the Board - well worth reading - they didn't, it seems, make any genuinely coloured glass, despite there being a mountain of suggestions in the literature that they did.
A big hiccup in the acceptance of provenance of a certain historic collection has given rise to what seems a permanent idea that those pieces with coloured festoons and swags were from Nailsea - more likely from Stourbridge or Bristol. This mis-attribution of Nailsea ware seems to be one of the most oft repeated errors in the books.
I don't know if Hodgetts emigrated to the States though