[ETL]

I seem to recall that a rare, dense fog prevented the British ships from seeing the escaping boats.

True, but the Americans also lit fires to make it appear as if they were still there camped.

The following episode from the great 6-episode PBS series "Liberty" covers the Battle of Brooklyn...

Liberty: The American Revolution Episode 3
http://vodpod.com/watch/1363075-liberty-the-american-revolution-episode-3

[ETL]

The part about the escape from Brooklyn Heights begins about 22 mins into the video.

You should be able to download the entire video onto RealPlayer *if* you do it through Internet Explorer. Mozilla FireFox doesn’t seem to allow it. The site has at least some of the other episodes. 1-4 are the best. I think they have all 4. RealPlayer is a free program you can download from Real.com.