British naming clues

Today I was reading a little about British naming conventions. According to this link at Family Search, one convention was for parents to choose names that honored grandparents and parents, and how they did this was very specific.

"Although it was far from universally used, the usual British naming convention was as follows:

• The first son was named after the paternal grandfather
• The second son was named after the maternal grandfather
• The third son was named after the father
• The fourth son was named after the oldest paternal uncle
• The fifth was named after the second oldest paternal uncle or the oldest maternal uncle

• The first daughter was named after the maternal grandmother
• The second daughter was named after the paternal grandmother
• The third daughter was named after the mother
• The fourth daughter was named after the oldest maternal aunt
• The fifth was named after the second oldest maternal aunt or the oldest paternal aunt

If there was duplication (for example, the paternal grandfather and the father had the same name), then the family moved to the next position on the list."

... Often considered repugnant to modern ears, a child’s untimely death meant the end of the honor bestowed upon someone. Since many children died in the 17th and 18th centuries, parents had no problem with re-using the name of a dead child for a subsequent birth.


So, the following might be clues to find Thomas Willcox's parents, comparing this very literally to the Willcox family:

First son John - Thomas Willcox's father would have been named John Willcox.
Second son James - Elizabeth Cole's father would have been named James.
Third son Thomas I - Father's would have been Thomas.
Fourth son Thomas - Named Thomas because third son died.
Fifth Son Mark - Thomas Willcox's oldest brother would be named Mark or the second oldest named Mark. Or Elizabeth's oldest brother is named Mark.

First daughter Ann - Elizabeth's mother is named Elizabeth, so they would move down the list and name Ann for Thomas Willcox's mother?
Second daughter Elizabeth - Named after her mother.
Third daughter Mary - Elizabeth Cole's oldest sister would be named Mary.
Fourth daughter Deborah - Elizabeth Cole's next oldest sister would be named Deborah or Thomas Willcox's oldest sister.
Fifth daughter Margaret

I can see right away that some of the conventions do not work... i.e. Elizabeth Cole's father is Stephen Cole. But some of the others fit, so I'm just going to take it into consideration as I'm searching.