Yeah "Tit' Mamou" is an old standard. I see others are noting other titles for the same basic tune. Another recording of this tune was recorded by Chester Cormier and the Bayou Boys titled "Mom's Two-Step".
Here's the tune done by Lee Sonnier ~1949. He called it Cankton Two Step: http://www.npmusic.org/Lee_Sonnier_and_his_Acadian_All_Stars_Cankton_Two_Step.mp3