It would seem that the author is yet to be identified.

A search of Copac, the online catalogue of all the major UK libraries, produces three books by the same author:

Copac - Fairy Ballad Book

Endymion's Dream;
Fairy Ballad Book; and,
East and West; or, Alexander's death.

If any of the cataloguers had identified the author, and the British Library usually tries very hard to do so, it would be noted in the record.

It might be worth emailing one or all of the copyright libraries:

    British Library, London.
    Bodleian Library, Oxford.
    Cambridge University Library.
    National Library of Scotland, Edinburgh.
    Trinity College, Dublin.
    National Library of Wales, Aberystwyth.

If that fails, someone needs to search the archives of the publisher, George Bell and Sons.

Sorry I can't be more help.

Greenie