Trying to get the derivation of a placename from its Modern English form is very difficult. Ideally, one needs a couple of Middle English attestations. The more (and earlier), the merrier.
That said, I'd guess that the -hayes part derives from Old English hæga, 'fenced enclosure' (whence Modern English 'hedge'). The term haga is found in Domesday Book, where it appears to refer to a Deer Park, so that gives you a more specific type of 'fenced enclosure'.
Sent from Samsung Mobilei