Child only published the words of the ballads. He was a literature professor and as such was not really interested in the tunes.

You can find copies of the words to the Child Ballads here

Tunes to which many of the Child Ballads were/are sung have been published but I do not think you will find that information gathered in one place on the web. There are other 'Catters who know much more about this than I do and who will hopefully post more information.