Anyway. Did a bit of digging around and built some trees.
Two separate families of Bastons appear to arrive in the mid 19c. One from Boulmer, who head to Moor House farm for a few decades them off to Tritlington.
For sake of completeness, and before I get started on the other Bastons here's a quick summary of the ex-Boulmer family. There are a few discrepancies across the various decades, such as birth years of the seniors changing by a few years, but I'm still confident this is reasonably accurate.