Definitely not the Route 66 Rockin' Man - only two of the titles you list match up with that one. And I can't find a number of the titles you list in the blues discography I'm looking at. As Hans said, McCracklin's discofraphy is a mess, so I may have missed something.
He recorded "Take a Chance", "My Love for You", and "Farewell" (possibly the "Farewell Baby" you list) for Irma in 1956 - later reissued on Premium or Imperial.
This remains a small mystery.