Rollin' & Tumblin was not arranged by Canned Heat they do a straight cover of The Muddy Waters record. I believe I read an interview with Muddy once where he claimed to have learnt it from Son House.

I was once watching a programme on TV about the earliest recordings of blues and they played what was supposed to be the first ever known field recording (on a cylinder I think) and it was "Rollin' & Tumbling" sung by an unknown female.