Most Brits would not notice the difference as Lincolnshire accents are broadly unrecognized nationally, though any Brit (and, perhaps, many Americans?) could distinguish a Scouse (Liverpool) accent from a Mancunian (Manchester) one - only 27 miles apart. Think Beatles vs Oasis here.
Sadly, though, this does only work on true, thoroughbred natives - a small percentage of the population in most areas now due to the frequent movement of people around England.
I do love it when you listen to someone talk and you can hear where they're from; occasionally I can do a Henry Higgins (http://en.wikipedia.org/wiki/My_Fair_Lady) and hear the overtones of where they moved on to as well. A strange delight.
The town where I grew up has a couple of dialect words that are only spoken by the working class in the environs. Fascinating stuff.
[NB When the BBC did a TV series featuring fishermen from near where I grew up they had to give the show subtitles so it could be understood in the rest of the UK ;-)]
Jared Diamond uses this a lot, when trying to unearth the history of populations. This isn't a new thing - the 1956 Kurgan hypothesis suggests that PIE (the language which everything from English to Indian languages descended from) is a sign of a large empire, or a dominant culture which expanded across Europe. It suggests PIE may come from the Russian steppes, and that their secret weapon was the domestication of horses (due to the prevalence of "horsey" words in PIE). Diamand uses similar logic to trace the expansion of other cultures.
For contrast, New Guinea has lots of of languages, as until recently it has been very divided culturally and politically. Many villages were pretty much their own state.
Boston really is "closest to England" in a lot of ways.
Interesting maps - significant portions of England were still rhotic in the 1950ies.
Incidentally, it's fascinating how much accents and dialects can change in such a short distance in Europe. Within a few hours bicycling distance from Padova, people can tell that someone is from here and not whatever town they're in. Compare and contrast with my Oregon upbringing, which no one could place anywhere specific in the Western US with any degree of accuracy.
Another fascinating tidbit is New Mexican Spanish:
http://en.wikipedia.org/wiki/New_Mexican_Spanish
Which became way more isolated from Spain than the US ever was from England.