All that can presently (December 2022) be gleaned about
Dorothy Alexander from sheet music covers and by Internet searching is that she was presumably an American actress/singer who has been featured on just one work namely
Why Don't You Drive My Blues Away (1919) music by
Frank Papa, words by Joe Davis and published by
Triangle Music Publishing Co., New York, USA
Her portrait on the left is taken from that same work,
Surfers are welcome to contribute any further information about this performer.