If You Need Me (Please Tell Me So)

There are two songs of the same title If You Need Me, both written by Domino-Bartholomew and recorded by Fats Domino.
First song (starting with the words If you need me, call my name), created in 1953, was first issued on LP Imperial 9009 in August 1956. Its second version was recorded by Fats Domino in 1955.
Second song (starting with the words If you need me, please tell me so) was first issued on single Imperial X5645 in January 1960.
Actually no way to know what of two songs has ISWC T-700.029.265-1.