I didn't have chance to read or follow up other references in Phillips, but Elizabeth Davies the Rhymer indicates she was well known for her verses (like Jones the Fish), and there are other entries about her. I will pursue these when I get chance.

The song was printed by Filmer Fagg at Swansea. Filmer Fagg's Circulating Library was at Wind Street, Swansea in 1824, but moved to Wind Street, Neath as Fagg's Circulating Library in about 1827. I haven't found any record of their printing business. Records about their Swansea activities are possibly in Swansea library

The local library search is complicated by the many changes to local government structure. Fortunately, Swansea and Neath have a joint archive organisation, although the documents are scattered. Unfortunately, their online index is some way from completion.

I intend to dig further, but I will need an initial visit to identify sources. It's a decent trip from Bristol, so it may not happen soon.

Phil