Webber was the official draughtsman on Cook's third voyage and his drawings were reproduced in the official account of that voyage in 1784. Between 1788 and 1792, he also published a series of 16 engravings related to the voyage which he etched and colored himself. Fifteen years after his death in 1793, these images were reproduced as hand-colored aquatints and issued with descriptions reprinted from the official accounts.