Thanks for posting the pictures, they help a lot.
We have established (via PM) that the e-stop is not latched in the stop position and that the stepper motors lock when the machine is switched on. This means that you will only have to find the step and direction pins to get the axes moving – there should be no drive enable signals to worry about.
The first thing you will need to check is the parallel port on your PC.
As a general rule older equipment (such as your CNC machine) uses the 5 Volt TTL standard and more modern equipment (perhaps your PC) can use the 3.3 Volt TTL standard.
From a fresh start of your PC and with no software running use a multi-meter to check each of the PC parallel port pins with relation to pins 18 to 25 which are GND (with luck you will find one that it TTL(high). If it measures approx. 5 Volts then everything is OK but if it measures approx 3.3 Volts then, in my opinion, you will need to use another PC or fit a new parallel port card to your PC which has 5 Volt outputs.
The CNC machine’s step and direction pins could be any combination of pins 1 to 9, 14,16,17.
Probably the most common usage is X axis 2,3 – Y axis 4,5 – Z axis 6,7 but your machine could be any combination and it is a laborious process to find the correct combination however, with patience it is doable.
Tweakie.