There's a number of examples of song lyrics which mention other songs or tunes.

Some I've heard of, others not, or they maybe imaginary.

Ones which spring to mind are 'Galway Shawl', which mentions 'Rodney's Glory', 'The Blackbird', 'The Stack of Barley' & 'The Foggy Dew'

Also 'Biker Hill' re 'Elsie Marley'

Others?