Number 1121 in the Roud Folk Song Index. It was widely published on 19th century broadsides; examples have already been quoted. Here is a list of examples at  Bodleian Library Broadside Ballads:

('Tis Time to) Remember the Poor

Various folk song collectors seem to have found it in oral currency in England and America, but most didn't publish it; I would think because it obviously derived from print. In the USA it also appeared in various popular songsters.

There is very little to add on the subject of The Wooing Rogue; except that the tune to which it was set was also known as I am a Poor and Harmless Maid, and was used for various songs during the second half of the 17th century. It can be found in Simpson, The British Broadside Ballad and Its Music, 1966, 328-329.