Roy Palmer refers to both songs in The Sound of History - Songs and Social Comment (1988), in the section on Pastimes, quoting a verse from the Weyhill one. He gives a reference for the Weyhill one, but it seems to be wrong, or at least I can't find it. He gives it as Notes and Queries, 7th series, 5, p352. I've had a look in a copy I downloaded and in the online version at Wikisource and I can't see it on that page or nearby. The reference he gives for the Howden song - the same volume, p345 - is fine.