PavaneBruceO has a number of references to Mad Man's Morris as a tune to a number of songs, including Mad Maid's Morris.
There is a direct reference to it here. I've included the text below.
The Jovial may-pole dances, or The Merry Morris, and The Mad Man's Morris
This is a ballad from 1690 in the British Library collection. The frontispeice is an illustration of couples dancing around a may pole, to bagpipes. Another Ballad in the same colletion is called the Mad Man's Morris. In both cases, it would appear that the word Morris is used not only because it is a dance, but because it describes the nature of the ballands, i.e. to emphasise the joviality of the first, and the wildness of the second. There is no mention of Morris in the peices themselves, merely in the titles.
The Jovial may-pole dancers, or The Merry Morris,
The Mad Man's Morris
Anonymous, 1690, in The British Library Collection of Ballads, C.22.f.6(128)