In Welsh wills website I found 26 Weigh wills , all of Hawarden.
Edward Weigh : 1566.
In Hawarden Probate Records, 1554-1858 (WlAbNL)3650007
Details Weigh, Edward, Ewloe, Hawarden, Flint
Unfortunatly wills held at Hawarden will are not able to be viewed online, but it seems the Weigh family have been in that area for many years.