On an isolation transformer, were do ground pins go?
No. The point of the transformers is to isolate the live and neutral from ground.







simulate this circuit &ndash; Schematic created using CircuitLab

Figure 1. A simplified schematic to show the typical setup.


At some point in the power distribution one of the supply wires will be "neutraiised" by connecting it to earth. This wire is labelled "neutral" and the other is now live. (This may be done at the local supply transformer or at the supply entry to the building, depending on local regulations.)
LAMP1 has full mains voltage at its top terminal and, if all is well, 0 V at its bottom terminal.
XFMR1 isolates the output from the incoming supply. The symbol shows clearly that there is no direct connection between the input and output. We could earth either of the output wires or neither and the circuit will still work.
In the configuration shown neither L1 or L2 are earthed so the supply is floating.
Output earth is provided to ensure earthing of any equipment plugged into the transformer. This is to protect the user in the event of multiple faults occurring simultaneously and making the case of the downstream equipment live.



  The outputs from transformer have a ground.


Correct.


  Is output ground earth ground?


Yes. It is connected to the earth on the input lead.


  Isn't the whole point for those transformers not to provide earth ground potential?


It is to remove the earth ground potential or tie on the neutral wire.