50 to 60 volts on one phase is usually a bad or broken neutral connection and that would shift phase voltage under load. The other phase would go high as the neutral point floats. Are you reading a single coil voltage that drops under load, right at the transformer. Or are you reading phase voltage downstream of the Y connection where the neutral could break and float.
The single coil voltage should always maintain the turns ratio to the applied primary voltage, within the transformer rating. If you suspect the bad coil, the ratio of the applied primary voltage to the secondary coil voltage would have to match the other two coil voltages.
Lack of a secondary system bonding jumper would do it.
What does the N to G voltage do when the phase voltage goes to 60.