Stacey,
We haven't been sellers in the UK, but we bought our house here this summer. We had our offer accepted on July 4 and we took possession on the 21st of August. The whole thing took less than two months for us. Everyone prepared us for a much longer wait, and we were on pins and needles almost to the end, but everything went smoothly. We had a mortgage guy who was really on the ball, and the inspection was pretty straightforward. We kind of breathed down the lawyer's back a bit, just to make sure he hadn't forgotten us, and that may have kept things moving at a brisk pace.
I hope you have the same good fortune!