At least two Age of Sail merchant ships were named British Army for the British Army:

was launched at Quebec. She traded across the Atlantic and to the East Indies. A wave wrecked her at sea in 1822 in the Atlantic. British Army, of 1,338 tons, was an iron-hulled barque launched at Sunderland in 1869 as Cynric. She was last listed in Lloyd's Register in 1890/91.Lloyd's Register (1890/91), Seq.№B808.

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