Lee
You need to provide more info.
1 Are the transformers 120/24 volts? Are they on the same circuit?
2 "It now consists of 2 600 watt transformers with built in circuit breakers feeding approx. 10' of lighting per transformer" Is this the breaker that tripped or the line circuit breaker?
3 What size is the circuit breaker?
4 Is the amperage measured on the 120 volt side?

These types of transformer can draw large inrush currents. Sometimes 40 x FLA. If you have a good voltmeter you can measure the max current and see.