New account creation during profile sign-up not creating Backdrop (Drupal 7) Account [SOLVED]
I found out by accident, or trial and error really, that if I select a Price Set in the 'Contribution Page' -> 'Membership Tab' then the new user is not created, but If I do NOT select a 'Price Set' and just the 'Membership Type', then the Backdrop User is created. 
Now to get that to assign the correct Role is the next task.