I have an extended family of Wallises in and around Chipping Campden and Broadway, descended from the 7 sons of *Benjamin Wallis, b.c1675 in Stanway. I'm really only familiar with my own particular branch, which does not fit here, so cannot point to any definite link. Several villages worth looking at: Weston Subedge, Ashton Subedge , Church Honeybourne, Childwickham, Saintbury, Broadway, Willersey, Chipping Campden, Evesham, further south towards Stow on the Wold and west towards Cheltenham.
Please get back to me if you think I may be able to help.
Geoff
*PS. See my recent posts under Gloucestershire