Thanks for the quick response.
OK, here is what I see.
On the switch that only works when the 'master' switch is on there are three wires and three terminals. The single terminal on the left side (silver screw) has a red wire connected to it. The right side has two terminals (one black and one gold colored) and they each have a single black wire on them.
The other switch (the master switch that has to be in a certain position for the other switch to work) is the same type of switch and has the same connections with the exception being that the black screw has an additional black wir attached to it (for a total of 4 wires).
Would you like a picture?