I have attached a very rough circuit for a power supply. I will leave you to look up the data sheets and calculate the resistors for 13V. The negative regulator needs a minimum load to work, so if the oscillator can at times draw very little current, you may need to add an extra resistor across the -13V.
This circuit needs a transformer with a single winding 15V to 20V. If you have an old 12v DC power pack (the heavy ones with a transformer), the transformer inside would probably be fine. The oscillator does not use much current, so possibly anything you can scrounge will be OK.
For the board, it is not the strongest, but you could just get some veroboard-type prototyping board (the one with the parallel copper strips). Cut a hole for the edge connector leads and solder on the back. Build the power supply board on it. Cut away lots of the spare tracks on the primary.
I wouldn't worry to much about the battery option. For one thing, the Mercury batteries thy did use do not exist any more - they are banned.
If it is only the power supply boards missing, that is good as it is the one thing that is easy to replace.
Now this is no frequency synthesizer, but for work below 1MHz, what you get is the great vernier dial that none of the synthesizers have. For general testing, this is much faster to use then any synthesizer.
Richard