This seems to be the same version given in Richards & Stubbs "The English Folksinger", with the 3rd line of v2 changed from ...said "My dear I'm sure" (a slighly better rhyme I think).

Notes there say sung by Henry King of Lyndhurst, Hants; collected by J.G.Guyer 1906; in G.B.Gardiner ms.

There's a Firth broadside (Firth b.34(71)) in the Bodleian (under the title The Cottage) which is virtually identical but has 2 extra verses (tailor and cobbler).

Mick