I am very familiar with the Quaker meetings as I was raised as a member of the Society of Friends/Quaker faith, my maternal grandmother was our meetings "Head of Ministry and Evangilism"; aka the leader of the meeting.
I have found scant notes on Rev Willaim's interaction with the Quaker and Methodist churches.He was admired by many of the non-secular churches in Georgia, as he did not believe in a "church" based religion but a church/meeting based on faith and belief.
There are records showing Mary and Nancy Eastin leaving the meeting in Orange County, (now West) Virginia and beeing recognized and allowed to attend MM in Wilkes County, Georgia.These notations were made after their families left Virginia and moved to Georgia in the late 1790's and well after they had married John and William, who were already Baptist ordained ministers.
To date I have not found any records of either woman being expunged or cast out of any MM or YM.Rev William Davis' name does appear in some early Quaker notes, being "a Friend of the MM and YM" and welcome into these meetings upon request from William.
Many of the views of the Sarepta Baptists were based on beliefs and views of the early "Society of Friends" latter day Quakers who allowed singing in the meeting, open prayer and sermons, and the wearing of jewelry; other a simple wedding band.