All that can presently (June 2022) be gleaned about Marguerite Andersen 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 You Tell Me Your Dream, I'll Tell You Mine (1899) music by Charles Neil Daniels, words by Seymour Rice & Albert H. Brown, published by Villa Moret Inc., San Francisco, California, USA.
Her portrait on the left is taken from that same work.
Surfers are welcome to contribute any further information about this performer.