Indeed there were.
I have traced the majority of them but not all yet.
I have found reference of an Isaac Lodington in The London Gazette and I'm fairly sure it's a different Isaac Lodington. I shall find the reference.
The said Isaac Lodington, was a Watch-maker, at the Dial of Tavistock Street, Covent Garden in 1721.
This is of course, not the Rev. Isaac Lodington. I do presume it is a son though, as the children of an Isaac Lodington and Ann, were christened at St. Paul's, Covent Garden in the 1720s.
The eldest son was Rev. John Lodington, M.A., B.A, rector of Haddiscoe and Toft Monks, Norfolk. It was his daughter, Grace Lodington, that married the aforementioned John Paul Smith, of Bucklersbury and thus was the ancestor of a branch of Baddeleys and Cobbolds (who were quite prolific).
Bedford Lodington, 3rd son, was a Mercer and was declared bankrupt in 1729.
Thomas Lodington, 4th son, was my own ancestor. and was a Merchant, of Carey Street, Westminster. I have his will.