Born in Taylor's Land, St. Michael in Barbados, Neblett was a middle-order batsman and a leg-break bowler who spent his domestic career playing for British Guiana during the 1920s and 1930s. His first three first-class matches were all played against the touring M.C.C. at Bourda, Georgetown in February, 1926. He performed moderately well, for whilst he did nothing of note with the bat, he took three wickets in each match for a total of 216 runs.