Green’s Dictionary of Slang

hey-nonny-no n.

also hi-nonny-no
[used in SE as a chorus in songs/ballads + SE nonny-no, a trifle, a ‘nothing’]

the vagina.

[UK] song in Wardroper (1969) 41: All men were fond of her hi-nonny-no.
J. Barth Tidewater Tales 202: The freckles on her hey-nonny-no, pretty freckles on her hey-nonny-no.