A Clausing with a Delta 10 control used what DynaPath called an MCP (Machine-Control Package.) The correct wiring diagram for your machine is most probably the schematics under part number 4203642 on the DynaPath website.
The J2 connector on the DC I/O board (in the card rack) is the DC Outputs. Correspondingly, the J1 connector on the same board is the DC Inputs. J2 pin 34 is an output called "Z Move Req Lamp," a signal used on a 2-axis mill.
Referencing page 4 of 5 of the schematics 4203642:
-The E-Stop string starts at J2 pin 14, goes onto the MTB I/O card and is connected to J3 pin 1 on this card.
-There should be a wire going from J3 pin 1 to TB18 (pin 1?) on a card in the pendant. Although not shown, the signal passes through the K1 relay contacts and then shows up on TB18 pin 2 (lower right corner of sheet 5 on the schematic.)
-The string now continues through the E-Stop mushroom pushbutton on the front panel. I think the diagram maybe incorrect, because the overloads shown are definitely in the lower cabinet, but the string should end up on TB2 pin 2 back on the MTB I/O card (back on sheet 4.)
-The string now continues through all the overtravel switches (or the closed dip switches if overtravel switches aren't used), to end up on J1 pin 16, labelled 'Not E Stop', on the DC Input Connector.
Clear as mud, right? Suffice it to say, your E-Stop string should start at J2 pin 14 and return to the control on J1 pin 16. The +24VDC that returns to this pin also should pick up the coil of RL3, the pilot relay for the MCC contactor.