Maybe I've overlooked something in the references or comments; but I'm not too clear on why 'White Lady' is considered by HMF to be a synonym of 'Frances E. Willard'. The registration by Good & Reese for 'Frances E. Willard' seems pretty sure and confident of itself that it came from a cross, not a sporting of 'Lady Mary Fitzwilliam' (as 'White Lady' is stated to have done). Dingee & Conard 1901 list both 'Frances E. Willard' and 'White Lady', but separately (indeed, 'White Lady' is "Perfectly distinct from any other rose" for Dingee & Conard). It's perhaps possible that they got mixed in commerce; but that's another matter.

American Rose Annual, 1922
Frances Willard, T. (Good & Reese, 1899) Marie Guillot x Coquette de Lyon. Syn., President Cleveland. 15k. 42.

Society of American Florists and Ornamental Horticulturists – 18th Convention, 1902

Feb. 25, 1899.--Rose Frances E. Willard (Marie Guillot x Coquette de Lyon). Growth vigorous, foliage large; height five to six feet; flower pure white, three to four inches in diameter; bud short, very double and perfect. By Good & Reese Co.

Gardening - Volume 7 - Page 201 (March 15, 1899)
Good & Reese Co , Springfield, 0., have registered new rose Frances E. Willard, a seedling of Marie Guillot X Coquette de Lyon. Growth vigorous; foliage large, height five to six feet; flowers pure white, three to four inches in diameter; bud short, very double and perfect.