To start, what are the baptismal details of the "Edward Mathew, Wiltshire" where Anc. are putting forward a "Richard Mathew, Vienna" as a possible father?
West Lavington is mentioned.
The details I have below:
Name    Edward Matthews    
Buried       30 Oct 1664, West Lavington, Wiltshire, England, United Kingdom    
Marriage    8 October 1605 Chirton, Wiltshire, England, United Kingdom    
Spouse    Anne Clarke    
Children    Richard, Edward, Anne, Sarah, Anne, Millicent
The details Anc. suggests for the father Richard:
Birth
24 Feb 1557 • Steeple Ashton, Wiltshire, England
Marriage
06 Sept 1575 • Trowbridge, Wiltshire, England
Elizabeth Walter
Birth of son Edward Matthews(1585–1664)
abt 1585 • West Lavington, Wiltshire, England
Death
1619 • Vienna, Austria (just noticed I said 1610 earlier)