The 1851 census gives just over a thousand (1,047) indexed Honeys in England and Wales across at least 23 counties. The majority are in the south of England, but that is a wide dispersal from Cornwall in the south west to Kent in the south east (in the 'general area of England' by 1851 the population size was nearly 17 million. I believe in the 'general area of America' it was just over 23 million - comparing land size and population size you therefore have to be much more specific about areas in this country, because population size is so much larger and 'contained' in a much smaller land mass).
From experience of a one name study which has slightly less numbers in 1851 (860) and with a less widespread dispersal pattern by the same date, if they are all connected, to prove it I would have to take each tree back to at least the C15th. As it is I have over 20 trees, some very large with well over a thousand people only following the male line, but including spousal names.
Currently Honey has just under 3,000 people holding the surname in this country (excluding Scotland). It ranks as the 2,592 most popular surname (present population about 58 million so thousands and thousands of different surnames).
http://www.taliesin-arlein.net/names/search.phpFrom my experience since that is over a thousand more present day Honeys than the one name study I research, it means the surname is not rare - merely reasonably unusual and as it appears to be locative (with a focus of origin in the south of the country) you should expect to see (since you are looking for them) quite a few Honeys and not necessarily expect to find they have any obvious immediate connection, if any, especially since there are several variations Honey, Honeycombe, Honeybourne, Honeyman etc. all probably associated with the south of the country because of the warmer climate. A place name origin, an occupation origin, or a nickname origin may be the start for anyone of these potential Honey lines which at anytime could have been shortened from some of the other variations of the Honey name, so I would think it was more doubtful there was one derivation for the surname because of the 'widespread' locations of the surname in 1851.
Regards
Valda