Well, I haven't made any more progress in finding "My Nelly's Minced Pies" but here (https://archive.org/details/parodiesofworkso04hami/page/152/mode/2up/search/%22blue+eyes%22 is a book published 1884 with a few parodies of My Nelly's Blue Eyes, mostly political in nature - one titled Two Lovely Black Eyes and another Oh What a Surprise, plus a French and German version.