All that can presently (March 2022) be gleaned about Gertie Carlisle 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 1898 and 1908.
Her portrait on the left is taken from A Good Ice Cream Soda For Mine (1908) music by Henry W. Armstrong, words by Felix F. Feist and published by Leo Feist, New York, USA.
Surfers are welcome to contribute any further information about this performer.