I haven't found much on Mrs. Crosby, but she did compete. The first Ladies Amateur National Championship was at the 1916 GAH in St. Louis, won by Mrs. D.J. Dalton; Miss Harriett Hammond 2nd
https://digital.la84.org/digital/col...oll17/id/22498
Day 2 Ladies Special Event
Mrs L.G. Vogel
Mrs H. Almert
Miss Harriett D. Hammond
Miss L. Meusel
Mrs D.J. Dalton
Mrs. F.A. Johnson
Mrs C. Edmiston
Mrs H.L. Patter
Mrs J.L. Hooper
Mrs W.R. Crosby
Mrs D.B. Foster
Miss E. Wettleaf
Mrs A. Killam
BTW she was one of the wives to accompany (keep an eye on

) her husband to the 1901 Anglo-American match
American Team Departs May 26
The team will consist of the following shots: Capt. Thos. Marshall, R.O. Heikes, W.R. Crosby. C.W. Budd. J.S. Fanning, J.A.R. Elliott, F. Gilbert. F.S. Parmelee, C.M. Powers, Edward Banks, E.H. Tripp, Richard Merrill, and B. Le Roy Woodard.
Others with the team are: Capt. A.W. Money, Emil Werk, D.F. Pride, D. Erhardt, Fred. Elliott, and Frank Harrison.
The ladies of the party are Mrs. Banks, Mrs. Crosby, Mrs. Tripp, Miss Werk and others.