Before (end of 1978) (22 seats, Elections Centre)
Conservative 18 · Labour 4 · The Liberal Party 0 · Other 0
After (end of 1979) (25 seats, Elections Centre)
Conservative 15 · Other 7 · Labour 3 · The Liberal Party 0
Ward results
Burton & Winkton2 seats · turnout 67.9%
| K. Bishop | Conservative | 1,294 |
| E. Wilkinson | Conservative | 1,049 |
| K. Turner | LIB | 1,025 |
| G. Staynings | Independent | 764 |
Jumpers3 seats · turnout 50.0%
| M. Pardy | Independent | 1,516 |
| N. Fox | Conservative | 1,325 |
| R. Bruce | Conservative | 1,323 |
| D. Staddon | Conservative | 1,301 |