I Am Looking for a Drake Male That Married a Lady with the Surname of Cox Around 1770

My great, great grandmother Elizabeth Cox married in 1817 Poole Dorset. She was born 1795. We only know her father was Samuel Drake Cox, this seems to indicate that Drake was the maiden name of his wife. I would appreciate any information, it appears they were all from the Dorset area.
There are Cox and Drake marriages but I cant find a match.
I do know Elizabeth had a brother Samuel Drake Cox born 1790 and living in the Channel Islands in 1851.