William Cawley the regicide

[BrianBS]

I have already thoroughly researched WC regicide (1602-166) and his ancestors/descendants. On the other hand my 3g grandmother was a Cawley and her ancestors all lived in the Halton/Runcorn area of Cheshire. My dilemma is that the seal WC regicide used to sign King Charles I’s death warrant is in the possession of a cousin of mine and I have other evidence (letters, etc) that clearly indicate that the two families are connected. I have some thoughts on where the connection could be and I am looking for someone with knowledge of WC regicide and his family tree with whom I can discuss/confirm these thoughts.