I can find no information on this tune. I got it from a Brass Monkey CD where they use it for the song the Maid and the Palmer Man.
Paul Hardy provided the following interesting info:
From a quick bit of Googling, I'd guess it has evolved from "From Night till Morn I take my Glass", which appears in Jane Austen's own music book. See https://jscholarship.library.
jhu.edu/handle/1774.2/26005 and http://www.rism.org.uk/ manuscripts/122924?peek=17& wheel=mnskrpt_fv.
It looks to have been published in about 1810 with an accompaniment by William Shields, and based on a French air.
T:From Night Till Morn
B2B2B2AG|AGAB G2AB|cBAG GABc|d2ed B2A2|
B2B2B2AG|AGAB G2AB|cBAG GABG|A4G4:||
GABc d2d2|d2e2d4|e2d2g2B2|d2ed B2A2|
B2B2B2AG|AGAB G2AB|cBAG GABG|A4G4: