There's a whole passel of flirting songs from the latter part of the 19th c. They got into folk usage very quickly. It's hard to tell which of them were the inspirations.
I think I will post a couple of them, but will start a thread so that they don't gum up the works here.

"Flirting on the Beach" words and music E. M. Hall, performed by Primrose and West, 1878, White Smith & Co., Boston, was a popular one.