That specific recording is from the disc "Lifescapes-Cajun Bayou." It was sold in Target stores about seven years ago. It is on the Compass label and features Dan Newton on piano accordion. They called the tune 'Old Time Zydeco.'
It is the same tune that Paul Simon used for the tune "That Was Your Mother" from his Graceland disc.
The tune is probably much older and has at least one other recognizable name, but I can't think of it off the top right now.