Francis James Barmby (21 December 1863 – 30 September 1936) was an English cricketer. Barmby was a right-handed batsman who bowled right-arm medium pace. The son of Rev. James Barmby, he was born at Pittington, County Durham, where his father was the Rector. He was later educated at Charterhouse School.
| Format | Matches | Runs | Avg | 100s/50s | Top Score | Wickets | Bowl Avg | Best Bowling | Catches/St |
| First-class | 1 | 6 | 3.00 | –/– | 6 | – | – | – | 1/– |
