My guess is that the bad battery pulls the good battery down and the converter charger doesn't have a high enough charge rate to charge the two. I would disconnect and remove the bad battery. Charge the good one fully and check it's cells with my hydrometer to verify the health of each cell. If it has poor or bad cells consider replacing it too. Charge the new battery fully and check each of it's cells to verify their health. If AOK, install new battery and monitor how well converter charger is keeping the pair charged. Batteries are like children, they need attention. Make sure all battery connections are clean and making good contact.