Anna Byrne (Turner) - Anna Byrne (Turner) Parents questionable

There is adequate question about whether Tabitha (c 1770-1851) was Anna's mother, as Tabitha was too young, and her children are well documented.
There is also question about whether Edward Turner (1769-1851) was Anna's father. I found a couple of trees which indicate that Anna's parents are "unknown". Perhaps Edward was married prior to Tabitha?