Cordelia was the name of a British queen.- In Geoffrey of Monmouth, so pre-Shakespeare.

Cudelia Brown was printed in Tom Morris, 1952, Folk Songs of Jamaica, Oxford University Press.

Edric Connor sang it on his 1952 release, "Songs from Jamaica."
Louise Bennett sang it on a 1954 Smithsonian collection.

The song does not appear in Walter Jekyll, 1904, Jamaican Song and Story.

The part about "nutten 'pon yuh head" suggests to me that the woman was light-skinned and got burned; what is called in the Southern states a "redbone." See Wikipedia, also the Urban Dictionary.