William West and Elizabeth Burdick

I contacted the Mayflower Society and was told that no members have ever been descendants of William West and Elizabeth Burdick. This is as far as it goes:

George (Mayflower Compact) Soule & Mary Beckett
Susannah Soule & Francis John West
William West and Jane Tanner
Francis West and Mary Lawton
William A. West and Elizabeth Burdick

Children of William and Elizabeth, according to what I have pieced together so far, are:
Sarah, William P., William A. JR, Francis P., Susan, Mathew and Joseph B.

I am descended from William P. West who married Lucy Parks.
Miranda West & Hiram Jacob Kirkland
Elias West Kirkland and Josephine Brown
Edwin Lee Kirkland and Eliza Elizabeth Cox
Laura Hazel Kirkland and Arthur Bennett
Me.
Is there anyone out there or do you know anyone descended from Elizabeth Burdick and William A. West?
Thanks for your time!
sally