Hi Rick we have some burial records for a few generations of Thayers in Beckenham of Thayers Farm which they may have owned or rented from a larger landowner.
also see
www.beckenhamplaceparkfriends.org.uk follow history links for Beckenham. The page is regularly updated. I recently came across the Giles apprenticed to be a joiner etc.
The beckenham burials have been transcribed by other parties. The link to Flower may be the Flower family of Flower House, Southend, Lewisham and there may be a link to the Valentine family through Valentine Thayer. We have about 4 different ways of spelling the name as well including Gilles Thaires who married in Chiselhurst to a Katherine Rutledge which may well be connected.