A little dirty secret of generator charging - it takes forever to charge them full. In 6 hours they probably won't be 100% charged yet, shore power or solar is what people use for that finishing stage.
Another thing: when you stopped charging and batteries are 12.38, let them sit overnight and measure again - then you will see the real voltage.
Also, measure voltage of converter. You don't have to look for converter, measure voltage on the charging cables on the battery - with battery connected and disconnected.