Yes that is what I meant about the personal name, but I didn't make it clear. However with a personal name associated with it, "-tun" (OE originally meaning a fence or enclosure, but later a farmstead or village) usually comes down as "-ston" and not "-stan". This often erroneously suggests someone's stone. eg Alfriston is Alfric's tun not Alfred's stone.

The name certainly could be from Hring's enclosure or farm on a wooded hill ie Hrings tun hyrst. So if ring was originally the personal name Hring, then it probaby means Hring's farm/enclosure. If ring originally referred to a circular feature and that feature was of stone, then a stone circle seems possible. Just to muddy the waters a bit more - supposing someone built himself a circular enclosure of stone to corral his livestock? All elements come together, but this time they mean simply a circular stone enclosure on a wooded hill - not necessarily prehistoric of course.

All too easy to jump to conclusions and so, as always, the best bet is to consult the local volume of the English Place-name Society in the nearest large public library.