Born in York on 7 March, 1831 (GRO), and working primarily from London after studying at the RA schools. He had initially studied under his father at the York School of Design.

Stanhope FORBES's letters reveal that he was a visitor to West Cornwall in 1884. Moore was highly acclaimed as a marine artist in the 1880s and 90s for his very large paintings of the open sea, The restless ocean (1892, Brook-Hart) being an example. It was said that he could scarcely tolerate a boat, much less a stretch of shore; his joy was in the sea itself and its atmosphere.

He travelled and exhibited widely, though not as far as records show, in Cornwall. Between 1867 and 1900, he exhibited 15 paintings in the Paris Salons. He was interested in effects of light and weather upon coastal scenes, and his painting Off Dodman Head was included in the 1987 landscape artists' exhibition in 1987 entitled Looking West.

The artist died in Margate on 22 June, 1895 (GRO) just as Newlyn was developing its new Gallery.