Hi Warren,
I'm not sure if there is a connection as we are having trouble tracing our Brindley family connection.
My James Brindley was born in Arnold Nottingham about 1788 and I can't find his birth and someone on Ancestry has his parents on it as William Brindley and Sarah Houlding m 19 Sept 1785 All Saints, Sadbury, Darbyshire but my cousin and I have not seen any proof as yet. So we are putting this in the unproved possible link category for now.
Kind Regards,
Wayne Cook