All that can presently (June 2024) be gleaned about Carita Day 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 Can't Expect Kisses From Me (1911) music by Rubey Cowan, words by Roger Lewis and published by Will Rossiter, Chicago, Illinois, USA
Her portrait on the left is taken from that same work.
Surfers are welcome to contribute any further information about this performer.