The English Roots of the name Romney- Sheep, Gypsies and horses.

[muriel_volestrangler]

7. Most likely would be the place with the sheep

"Romani/Romany" aren't the 'traditional' English term for the people - that's just 'Gypsy'. The 'Romney' spelling seems to be a spelling used a long time ago in a scholarly book; I'd doubt that would be used for a surname - and, as you say, it doesn't turn up in the list of common Roma names (and that list includes plenty of names that are common for non-Roma people too).

Romney Road in Greenwich is probably named after the Earl of Romney (who will have taken his title from the place):

“Whereas His Majesty King William the Third by His Letters Patent, dated at Westminster the Eighteenth day of July One thousand seven hundred, did give and grant to the Right Honourable Henry Earl of Romney, his Heirs and Assigns, free, lawful, and absolute Right, Power, Licence, and Authority, for him, his Heirs and Assigns, to have, keep, and enjoy, at the Villa of East Greenwich in the County of Kent, Two Markets upon Wednesday and Saturday in every Week forever.........”

http://www.shopgreenwich.co.uk/greenwich-market-history