I was wondering about that after reading about the relationship between Churchill and Roosevelt during the second world war.
On a government level, we signed the Jay Treaty during the Washington administration which gave favorable trade terms to the British. Under John Quincy Adams, we drafted the Monroe doctrine (JQA doesn't get credit for it since he lost re-election soon after it was ratified) which told Europe to stay out of the western hemisphere. Since we really had no army or navy though, we couldn't enforce it. The British navy was the enforcer, less because they felt the need to back our tough words and more to keep their rivals from gorging and enriching themselves in any more new world colonies. As far as reestablishing relations on a social level, where the hoople-heads weren't damning England in the streets, I don't know.
hi! you may be interested in this section of the FAQ