His first marriage was in 1912 to Christina Frances Hicks, born 1885. They had children Penelope Fitzgerald (born 1916, died 2000) and Edmund Rawle Valpy Knox (journalist, died 5 June 1994). Christina died in 1935. He remarried in 1937, to Mary Shepard, daughter of E.H. Shepard, illustrator of Winnie the Pooh and The Wind in the Willows.
He served in the Lincolnshire Regiment during the First World War and Punch reported in October 1917 that he had been wounded.
As a poet, he was noted for his ability to provide topical satirical poems for Punch in the style of well-known contemporary poets such as John Drinkwater, John Masefield, Walter de la Mare, Edmund Blunden, Robert Bridges and J. C. Squire - usually managing to evoke the poet's general style and manner without resorting to parodying any particular poem.
Although best known for satire, some of his more serious poems, written during the Second World War while he held the editor's chair at Punch, evoke by turns wistful nostalgia, grim determination and a longing for eventual peace, often using metres from Greek or Latin poetry or historical English forms.
Collections of Evoe's writings, usually reprinted from the pages of Punch, were published as follows: