It is believed to be the first privateer found off the UK, a type of ship authorised to seize enemy cargo.
The material goes into Odyssey’s own collection and will be displayed on its website or lent to museums.
No artefacts from the shipwreck will be sold, said Odyssey which scours the sea around the world for shipwrecks.
The La Marquise de Tourny was discovered on the seabed by sonar and a remotely operated vehicle.
The Bordeaux-based ship is thought to have captured a number of English ships before it was lost in a storm in the late 1740s or early 1750s.
The wreck has been badly damaged by trawlers, but finds include 25 iron cannon up to 10ft (3m) long and parts of French bottles made of blue glass.