I don't know which way is right between the bare and insulated leads on your field coils. I would do it the same way you did. The rest of your wiring is correct, assuming you correctly identified the brushes. The commutator end frame on the right has the brushes labeled A, B, and C. Brush C appears to have a ground strap attached, which it should. Brushes A and B should be insulated from the end frame. You should be able to verify all 3 with an ohmmeter. You can see that brush A, when the brushes are pulled back to operating position, is 180 degrees from the ground brush. This is the brush that should be connected to the A terminal. The remaining brush, B is the "THIRD BRUSH". It is at an odd position relative to the ground brush. It appears that this is an adjustable third brush as it looks like it is attached to a steel ring that can rotate on the end frame. This is the brush the field coil should attach to.
A good generator should motor over if the FRAME is grounded and power is applied to the A terminal. If those connections are maintained and the F terminal is grounded it should slow down. I don't know what to expect if power is applied to the A and F terminals. I don't know where the idea came from that it is some sort of useful test. I never tried it and don't intend to try it with one of my generators.