L. A. Smith's book is an interesting one. She places "Blaw ..." with Tyne songs, no comments.
I could not find it in "Allan's Illustrated Edition of Tyneside Songs," 1862, but that volume has a version of "Weel May the Keel Row" (that gets the bairns their breed), that is the same as one in L. A. Smith's book (p. 109-110).

Thanks for the link. I had looked at the chanteys in her book, but had not gone further.