Some tress show this as the same person as Anne (Jones) Parke. The dates and places are the same.
BIRTH 15 Dec 1590 Sudbury, Suffolk, England
DEATH abt 1643 Gestingthorpe, Essex, England
sources (6) records (5)
Father: Oliver Church Jones (1568–1633)
Mother: Mary Tipton (1569–1640)
Spouse: Edmund Parke (1582–1629)
Married 1623
Children:
Marian (1612–)
Thomas (1613–1629)
Sarah Ann (1615–1671)
Frances (1616–)
Anne (1618–1641)
Daniel (1620–1679)
Elizabeth (1628–)
Her name is not even certain
The Register of the Kentucky State Historical Society, Volume 8
By Kentucky State Historical Society Page 67
https://books.google.com/books?id=APQxAQAAMAAJ&lpg=RA1-PA67&ots=01E...
All I see on Ancestry is the Baptismal Record:
Name Anne Jones
Baptism 20 Dec 1590 Saint Mary Magdalene Old Fish Street,London,London,England New
Father Oliver Jones
But that doesn't necessarily confirm it's the same Anne Jones who married Edmund Parke.
There wouldn't be immigration records because she lived and died in England.