The bantamweight was the lightest class, allowing boxers of up to 116 pounds (52.6 kg).
If the judges were not agreed on a winner at the end of the bout, the referee could either choose the winner or order a fourth round.
Condon won by knockout in the third round against the only non-British competitor in the bantamweight.
The bout between Webb and Perry was the tightest, with Webb's win coming through the referee's decision after the two judges deadlocked.
The two boxers fought a physical bout up close, in which Thomas fared better.