Here is the entry on Hodsoll from Kidson's British Music Publishers, c.1900:

Hodsall, William.

'A music seller who in 1794 was at Seven Oaks, Kent, and who about or prior to the year 1800 entered into the premises formerly occupied by John Bland, at 45, Holborn. His name is in the directory for 1800 till at least 1830. He issued sheet music and sets of yearly country dances in the usual form, oblong 8vo and oblong 4to. He published also two thin folio volumes entitled 'Terpsichore's Gift,' the work consists of his separately published sheet songs and pieces. Another of his publications, in oblong quarto, bears the same title and allegorical vignette.'

The only copy of Hodsall's 1810 collection that I know of is in the Vaughan Williams Memorial Library at Cecil Sharp House in London (QS 35.3 2223(d.)); the full title is A Collection of the most Fashionable Country Dances for the Year 1810 for the Piano Forte or Harp: with proper figures.

A full contents listing can be seen at The Colonial Music Institute: Dance Figures Index:English Country Dances, 1700-1827:

Hodsoll 1810

It would appear that the tune doesn't appear in that year's collection at all, so that's the best I can do for now; except to point out for others who may be interested that both of Kidson's dance collections (which are not that easy to find except through antiquarian dealers at relatively stiff prices) can be seen at http://www.englishcountrydancing.org/:

Old English Country Dances

Dances of the Olden Time

The music is scanned and the text is transcribed as html. I can't say that I like the gaudy page background, but then I didn't do the work.