Prior to coming to Australia, Suttor appears to have gained some form of medical training. In The Anti-Teetotalist (1842), he claims to have lived in London for some three years with the prominent early 19th century surgeon and anatomist, Sir Charles Bell (1774-1842).
In Sydney, Suttor opened an apothecary in George Street, which he ran from ca. 1829 to 1831, along with a second establishment at Parramatta. However he became insolvent in ca. 1832, after which he appears to have moved to Bathurst, where in 1829 he had married Cordelia Suttor (possibly a relative). He lived at Beverley Park, a mixed grazing farm outside Bathurst, from ca. 1836 perhaps until his death in 1882, however during the 1840s he also probably spent brief periods in Sydney and Melbourne. At one point he was connected with the Theatre Royal at Parramatta.
Following the publication of his volume Original Poetry (1838), Suttor was ridiculed by colonial critics, and for a time his name became synonymous with bad poetry. In 1839, Suttor called for subscriptions to a second volume of poetry, but it appears this was never published. Some individual poems were published in the Australasian Chronicle, the Geelong Advertiser, the Sydney Gazette, the Commercial Journal and Advertiser, and the Sydney Herald.
Not to be confused with his son, William Beverley Suttor (1832-1884).