All that can presently (July 2022) be gleaned about Aileen Crater from sheet music covers and by Internet searching is that she was an American actress/singer who has been featured on 2 works published between 1904 and 1905.
Her portrait on the left is taken from T'was Enough to Make a Perfect Lady Mad (1904) music by James B. Mullen, words by Vincent Bryan.
Of interest is The Tale of a Monkey (1905) music by Leo Edwards, words by Vincent Bryan and published by Vincent Music Co, which was briefly used in the Broadway production of The Wizard of Oz: (1903). It may have been planned as a duet for Aileen Crater and Fred Stone who she later married.
Surfers are welcome to contribute any further information about this performer.