Thank you, jpwm.
The 15V dc gets in via a 2-pole connector, the pins of which are not visible but below the narrower left end of the pcb. See assembly picture below. As I said, it is difficult to trace which track goes where even as it is all on one side of the board. The bat negative does go directly to the negative charger pin, and there has to be a switcher to convert the 15V to the 4.2 or less required in the positive line. There is a L102, the giveaway. The user manual says it is but a slow charger, all of 8h from empty to full, so very low currents. Still, it has to cut out at 4.2V (the cell is devoid of any BMC). And the LED has to blink green all along while charging, and stop when full still showing green; change to orange when empty. There is also the single 1-pole push button to start and stop the motor, which needs some mosfets.
The 314pm01 needs to be delineated out. Perhaps all will be revealed.
Thank you for your interest.