The problem will be more than finding the correct burial grounds. Many of the "tombstones" of that era were made of wood - which has long since rotted and disappeared.
I tried to find the grave of Daniel Leeds in Burlington. He was buried "next to the church wall." Well, the church has been renovated and enlarged and a large portion of the cemetary is enclosed by a brick wall. TO make matters worse, the church had a major fire that destroyed the records of the burial ground. So noone could say for sure where Daniel's grave might be.
Churches in England are starting to record their records and make them available on the web. I'm beginning to believe that Thomas came form the village of Leeds in Kent - just down the road from Leeds Castle. If St. Nicolas church still has its records, the puzzle may be solved.