The most common ship type for a pirate was a sloop. They were also used as warships by the Royal Navy. The larger warships were few and far between, plus pirate made a concerted effort to avoid them most of the time. There are very, very few pirate vs. Royal Navy battles, contrary to the popular image. Generally, the pirates ran ASAP.
A couple battles I can think of from the 17-teens period the ones at the very end of Bart Roberts career and the sloop battle where Meynard lead 2 sloops to corner Blackbeard's one. Most other captures were quick give-ups by the pirates.
I'd recommend a look at the Chapman book, which is a tad later, but the best one close to the period by a long shot.
http://www.amazon.com/Architectura-Nava ... =8-1-spellBlackjohn got me to look at it and it is now a "standard" in my library. For the price, there is NOTHING better. The tonnage, length, and much info is in there too, as are great blueprint-type illustrations.
Edit: to give an idea of how good it is, I'm going to get another copy and make a period "shell" binding for it. That way, I can have it in the open at events and reference it w/o concern for it "fitting in."