The American Revolution was conservative in nature. Assuming intellectual consistency, why would Edmund Burke be accepting of the American one, and distasteful of the French?
This is not a 'crazy' view, but one held by quite a few historians, how non-radical the revolution was, and maintaining in their view their "English rights."
Read the founding documents, then go read your Blackstone.
But it wasn't the type of conservative that republicans want it to be. Closer to Link's definition, than the teaparty's.
Burke considered himself both liberal and conservative, which was not an oxymoron at the time. So his approval of what was essentially a liberal movement (using period language) is not odd at all.
He disapproved of the French Revolution because it wasn't led by intellectuals and was unnecessarily violent.