Historically speaking, there were many in Britain who strongly supported self governance for America. There were even some British newspapers that would report American troops success's as victories for 'our soldiers'. Some historians have even gone so far as to suggest that Lord Howe, in charge of British forces, may have deliberately allowed the Americans to succeed (Howe was a member of the Whig Party, forerunner to today's Liberals. A defeat in a foreign war would have been a massive embarrassment to the Tory government of the day), although that is by no means certain. On the other side of the pond, there were many in America who considered themselves British subjects, and were proud to be so. To them, those who sought independence were traitors. As the revolution grew, they were persecuted, attacked, their homes and businesses vandalised. So it is certainly misleading to see this as being a case of every Brit wanting one thing, every American wanting another.