All that can presently (June 2022) be gleaned about Josephine Ainsley
from sheet music covers and by Internet searching is that she was presumably an American actress/singer who has been featured on 2 works published between 1900 and 1907.
Her portrait on the left is taken from Loved and Lost
(1900) words & music by William J. Carkeek
, and published by Goetz & Co.
, Brooklyn, New York, USA.
Surfers are welcome to contribute any further information about this performer.