"Let Me Call You Sweetheart" is a popular song, with music by Leo Friedman and lyrics by Beth Slater Whitson.
The song was published in 1910 and was a huge hit for the Peerless Quartet in 1911.
A recording by Arthur Clough was very popular the same year too.
[1] A 1924 recording identifies a Spanish title, "Déjame llamarte mía".
[2] David Sager acknowledged that the song became a standard only after a convoluted history.