Title: Button and Whitaker's Elegant New Dances for 1810, arranged for the Harp or Piano Forte, with correct Figures as Danced at Court, Bath, Brighton & all Polite Assemblies. IMSLP page for this score: link.
The publication of music for dancing stretches back at least to Michael Praetorius's large collection Terpsichore (1612), but it was the popularity of the country dance (later as the French contredanse) that spurred the efforts of compilers, composers, and publishers. By far the most famous series is John Playford's The [English] Dancing Master, first published in 1651, with new editions and supplements through 1728. Its combination on one page of music and instructions for the dance was especially influential on all subsequent collections. By the mid-18th century it was common (especially in France) to issue dances in folios, one or a few at a time, to be bound in volumes at the end of the year, if one chose. Button and Whitaker assume the same for their Twelve New Dances: the title page has a note at the bottom reading "This elegant Selection is Printed Quarterly, on Sheets, & paged onward for the convenience of Binding. Nos. 1 to 14 are already Published."
Presuming the present item to be volume 15, we have just one piece that is of interest for ascending cadence gestures. "Kitty Kickaway," like all the dances in the volume, is a British-style fiddle tune, in this case a jig. Strong focus on ^5 in the first strain ends with a quick run down to ^1 in the final bar. In the second strain, bars 1-4 move back up to ^5 and a PAC on the dominant, but then attention shifts suddenly to the upper note of the frame ^8 (G5) and an upper-register close (circled). D5 is a persistent inner voice now (see the ***). Note that, because of the context, the same music in bars 6 and 14 (boxed) has a different balance between upper (G5) and lower (E5) voices.