Two songs are mentioned specifically, and the lyrics given:
[1939:] But always, sooner or later came the cry, 'Let's give the old 'uns a turn. Here you, Master Price, what about [...] Lord Lovell stood, or summat of that sort as has stood the testing o' time?' [...] After that, they would all look thoughtfully into their mugs. Partly because the old song had saddened them. (Thompson, Lark Rise To Candleford 71f, with words)
[1939:] [There] would be calls for old David's Outlandish Knight; not because they wanted particularly to hear it - indeed, they had heard it so often they all knew it by heart - but because, as they said, "Poor old feller be eighty-three. Let 'un sing while he can." So David would have his turn. He only knew the one ballad, and that, he said, his grandfather had sung, and had said that he had heard his own grandfather sing it. Probably a long chain of grandfathers had sung it; but David was fated to be the last of them. It was out of date, even then, and only tolerated on account of his age. (Thompson, Lark Rise to Candleford 72, with words)