Son of the Dutch émigré and engraver Jan Chalon (1749–1795), Henry studied at the Royal Academy Schools and then started specializing in sporting and animal painting.
He was appointed Animal Painter to Frederica, Duchess of York, in 1795, and later to both the Prince Regent and King William IV.
This may be because of a conservative trend in painting at this time, which favoured George Stubbs's measured style, which Chalon forever tried to imitate.
His one child, a daughter, was the miniaturist Maria A Chalon (Mrs Henry Moseley, c. 1800–1867).
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