Alexander Wallen- look at the name Burk ? (Alexander Burk)There are 120 listings of this name. You have Mourning/Morning Burk. When she is a Wallen.
None married child birth. Last name given to child was Wallen. Just a hint to your search.
Morning Wallen born 3/29/1784 Hawkins County Tenn. Married a Stephen Wilburn could be your Mary Polly Burk's mother to the Alexander Wallen you ask about.
Looked at the cross pages you have Mary Polly also listed for this woman.There is a Mary Polly registered in the Hopia Indian line.
It would seem there are to many loop holes in Question of Alexander Wallen he could be the Swiss imagrint as well.
I could not find any references to the Names with out know real dates of birth or death. Places of census refers to 4 different familys and 1 imagrant. Sorry I was of know real help. Wish you well on your search. Walter