Green’s Dictionary of Slang

mangle v.

[dial. mang, a mixture, a mess; to mix one’s mang, to join in the chorus]

to join in singing a chorus., e.g. in a public house.

[UK]New Sprees of London 15: [T[he mangling is done cheap ; and whoever goes to hear a good song, may often stand a chance of getting disappointed [Ibid.] The casey that used to be the theatre, alias the mumming crib, is now the hang out of the [...] pawney belchers, or teetotallers. Here they mangle and do the chanting dodge.