Hopefully not too late....
I don't have time to schematic it up, but here's my notes based on a quick buzz through.
All pins are common between the two sockets except pins 3 and 35.
Pins 3 and 35 on the machined-pin socket are NC.
VCC goes to ...
LS11
Pin 14
Pin 13
Pin 2
Pin 1
LS10
Pin 14
Pin 4
Pin 3
... and to pin 5 on both sockets.
Ground goes to...
Pin 7 on the LS10, pin 7 on the LS11, and pin 26 on the sockets.
With those out of the way...
From the LS11
Pin 1 - connects to pin 10 on LS10
Pin 2 - common with pin 1
Pin 3 - Pin 38 on the sockets
Pin 4 - Pin 37 on the sockets
Pin 5 - Pin 36 on the sockets
Pin 6 - Pins 10 and 11 on the LS10, also joined to pin 10 on self.
Pin 7 GND
Pin 8 - Pin 35 on the dual wipe socket on parts side, not the machined-pin socket.
Pin 9 - Pin 12 on the LS10
Pin 10 - Joined to pin 6 on self, also to pins 10 and 11 on the LS10
Pin 11 - Pins 6 and 9 on the LS10
Pin 12 - NC
Pin 13 - Pin 3 on LS10
Pin 14 - VCC
From the LS10
Pin 1 - to Pin 1 on the sockets
Pin 2 - to Pin 40 on the sockets
Pin 3 - VCC
Pin 4 - VCC
Pin 5 - Pin 2 on the sockets
Pin 6 - To pin 9 on self, and pin 13 on LS11
Pin 7 - GND
Pin 8 - Pin 3 - on the dual wipe socket on parts side, not the machined-pin socket.
Pin 9 - Common to pin 6
Pin 10 & 11 - Common and to pin 6 and 10 on the LS11
Pin 12 - Pin 9 on the LS11
Pin 13 - Pin 39 on the sockets
The capacitor is just a decoupling cap strung between VCC and ground, marked 224 M 50V.
If you have any questions feel free to message me, I don't think i have missed anything but it's possible.