Hampden New Hampshire Ship [Pickering]
 Hancock Connecticut Brigantine [Richards Champlin Perkins]
 Hancock Connecticut Sloop [Chester Hinman Richards Champlin Richards Chester]
 Hancock Connecticut Sloop [Conkling]
 Harlequin New York Sloop [Shaw]
 Harlequin Pennsylvania Sloop [Earle]
 Harmonie New Hampshire Brigantine [Parker]
 Harrison New Hampshire Ship [Johnson]
 Hazard New Hampshire Sloop [Seaward]
 Hector New Hampshire Brig/Ship [Shapleigh Manning Manning]
 Hero New Hampshire Schooner [Peverly]
 Hero New Hampshire Ship [Trefethen]
 Hibernia New Hampshire Brigantine [Conner]
 Humbird New Hampshire Schooner [Rice]