He was educated at Marlborough College and Trinity Hall, Cambridge. Feetham was ordained in 1899. After a curacy at Street Simon Zelotes, Bethnal Green, he was Principal of the Brotherhood of the Good Shepherd.
In 1913 he was ordained to the episcopate as the fourth Bishop of North Queensland.
Feetham died on 14 September 1947 and his ashes were interred beneath the high altar at Street James" Cathedral, Townsville. Feetham is commemorated in the Australian Anglican calendar on 15 September.