I am starting off with the Lake Ontario Fleets for my naval battles. I will list the ships here. As time went on and both sides were building larger and larger ships, the smaller former merchant ships and sloops were phased out.
All ships not listed as merchant vessels were built previous to the war, or in the season they appear.
1813
*Advantage in 1813 except for May; Americans
British
Captain James Lucas Yeo
Wolfe 22 Guns (May)
2 68 pound carronades, 18 18 pound carronades, 2 12 pounders
Brock 23 Guns (burned at York before completion)
Royal George 20 Guns
2 68 pound carronades, 16 32 pound carronades, 2 18 pounders
Earl of Moira 16 Guns
14 24 pound carronades, 2 9 pounders
Lord Melville 14 Guns
12 32 pound carronades, 2 18 pounders
Prince Regent / Beresford 12 Guns
10 18 pound carronades, 2 9 pounders
Duke of Gloucester 12 Guns (Captured April, Burned May)
12 6 pounders
Sir Sydney Smith / Governor Simcoe 12 Guns
10 32 pound carronades, 2 12 pounders
American
Commodore Isaac Chauncey
General Pike 26 Guns (June)
*the size of a razed 4th rate
24 24 pound guns, 2 24 pounders (pivots)
Madison 24 Guns
20 32 pound carronades, 4 18 pounders
Oneida 18 Guns
16 24 pound carronades, 2 6 pounders
Sylph 10 Guns (August)
4 32 pounders (pivots), 6 6 pounders
Former Trading Vessels
The Americans towed several of the smaller vessels
Scourge 10 Guns (sunk in squall in August)
4 6 pounders, 6 4 pounders
Hamilton 9 Guns (sunk in squall in August)
8 18 pound carronades, 1 12 pounder (pivot)
Governor Tompkins 6 Guns
2 18 pound carronades, 1 32 pounder (pivot), 1 24 pounder (pivot), 2 9 pounders
Growler 5 Guns (captured then recaptured)
1 24 pounder (pivot), 4 4 pounders
Conquest 3 Guns
2 24 pounders (pivots), 1 6 pounder
Pert 3 Guns
1 32 pounder (pivot), 2 4 pounders
Asp 3 Guns
1 32 pounder (pivot), 2 6 pounders
Julia 2 Guns (captured then recaptured)
1 32 pounder (pivot), 1 12 pound (pivot)
Ontario 2 Guns
1 32 pounder (pivot), 1 12 pounder (pivot)
Fair American 2 Guns
1 32 pounder (pivot), 1 24 pounder (pivot)
Lady of the Lake 1 Gun
1 9 pounder (pivot)
1814
*Advantage 1814;
April to May; British
May to Early June; Equal
June to September; Americans
September 10th On; British
British
Captain James Lucas Yeo
Broadside Weight Before Sept; 2809 Tonnes
Broadside Weight Sept On; 4373 Tonnes
Broadside Weight Dec On; 5157 Tonnes
St. Lawrence 108 Guns (September 10th)
2 68 pound carronades, 34 32 pound carronades, 34 24 pound long guns, 34 32 pound long guns
Prince Regent 58 Guns (April 14th)
*a razed third rate; Leander Class
4 68 pound carronades, 24 32 pound carronades, 28 24 pounders,
Psyche 56 Guns (kit ship from England, December)
28 32 pound carronades, 28 24 pounders
Princess Charlotte 42 Guns (April 15th)
2 68 pound carronades, 16 32 pound carronades, 24 24 pounders
Montreal / Wolfe 23 Guns
4 68 pound carronades, 8 32 pound carronades, 1 24 pounder (pivot), 8 18 pounders
Niagara / Royal George 21 Guns
18 32 pound carronades, 1 24 pounder (pivot), 2 18 pounders
Star / Lord Melville 14 Guns
12 32 pound carronades, 2 18 pounders
Charwell / Earl of Moira 13 Guns
12 24 pound carronades, 1 18 pounder (pivot)
Netley / Beresford 11 Guns
10 18 pound carronades, 1 24 pounder (pivot)
Magnet / Sir Sydney Smith 11 Guns (Blown up to avoid capture in August)
10 24 pound carronades, 1 9 pounder (pivot)
Under Construction at the End of War
Wolfe 108 Guns (Est. June)
36 32 pound carronades, 76 24 pounders
*this is what was planned in 1813, since all ships seemed to be going with heavier guns, this may not have been the armament for these two ships
Canada 108 Guns (Est. June)
36 32 pound carronades, 76 24 pounders
American
Commodore Isaac Chauncey
Broadside Weight; 2740 Tonnes
Superior 58 Guns (May 2nd)
*this ship was the size of a razed 2nd rate or large 3rd rate
26 42 pound carronades, 30 32 pounders, 2 24 pounders
Mohawk 42 Guns (June 11th)
*the size of a razed third rate
16 32 pound carronades, 26 24 pounders
General Pike 26 Guns
*razed 4th rate
24 24 pounders, 2 24 pounders (pivots)
Madison 23 Guns
8 32 pound carronades, 14 18 pounders, 1 18 pounder (pivot)
Jones 20 Guns (overgunned and unstable) (April 10th)
16 42 pound carronades, 4 24 pounders
Jefferson 20 Guns (overgunned and unstable) (April 7th)
16 42 pound carronades, 4 24 pounders
Oneida 18 Guns
16 24 pound carronades, 2 6 pounders
Sylph 16 Guns
14 24 pound carronades, 2 9 pounders
Under Construction at the End of War
New Orleans 106 Guns (Est. Early April)
*I have different numbers for these 3 ships depending on the source
28 43 pound carronades, 70 32 pounders, 8 24 pounders
Chippewa 106 Guns (Est. May 15th)
28 43 pound carronades, 70 32 pounders, 8 24 pounders
Plattsburgh 56 Guns (Est. May 15th)
*this ship would be started after New Orleans was complete. I'm assuming it would be identical to Superior
26 42 pound carronades, 30 32 pounders, 2 24 pounders
1815
It's hard to say what a battle would have looked like. Usually only 3rd raters and up fought each other, but since these fleets were so small, the smaller ships probably would have engaged at a distance. This is a list including what was under construction in 1815. By June of 1815 the fleets are listed below.
British
Broadside Weight; 8133 Tonnes
3 First Rate Ships
1 Large Fourth Rate Ship (razed third rate)
1 Fourth Rate Ship
1 Fifth Rate Ship
2 Sixth Rate Ships
3 Smaller Ships
Americans
Broadside Weight 1815; 7362 Tonnes
2 First Rate Ships (larger ships)
2 Large Fourth Rate Ships (razed second/third rate)
1 Fifth Rate Ship (razed third rate)
4 Sixth Rate Ships
2 Smaller Ships
*The American ships were all razed (no upper decks), and had larger hulls at every level of size of ship, so although they look outnumbered, it may have been fairly even. It will have to be settled in game.
British; 524 Guns
Americans; 468 Guns
Advantage; British in Guns, but probably equal in tonnes of ships