Faction Navies
Names and deployments are up to faction leaders. I haven't found very many sources so much of this is likly to be slightly off. Naval warfare during the period often involved hundreds of ships on either side. This made communication difficult, so each ship captain would be on his own. This would be difficult to implement, I feel, and so I've scaled navies down.
Tyrone
1 sloop[represents various pirates]
Scotland
1 brig, 2 sloops
England
1 frigate, 2 galleons, 3 brigs, 5 sloops
Netherlands
2 frigates, 2 brigs, 5 sloops
France
1 frigate, 3 galleons, 2 brigs, 4 sloops, 2 galleys
Spain
5 galleons, 1 brig, 3 sloops, 2 galleys
Ottoman Empire
2 brigs, 2 sloops, 5 galleys
Austria
1 sloop, 1 galley
Venice
2 brigs, 3 sloops, 4 galleys
Denmark-Norway
2 brigs, 3 sloops
Sweden
2 brigs, 2 sloops
Poland-Lithuania
1 brig, 2 sloops
Russia
1 sloop