I'm trying to determine if I have 2 different problems - so thank you for all the input.
First, when out of the trailer for the winter, I had them on a trickle charger - not all the time, but would put them on for a week or 2, then let them rest, then back on, etc. They were fully charged when I put them back in the trailer.
Yesterday at 4PM I measured the voltage at the batteries, 12.64 across both - 12.67 at the trailer leads to the batteries - measuring the red lead where it comes from the converter and measuring the white ground in the battery compartment. Also measured both batteries - L 6.29 R 6.27.
At 10AM measured again, trailer unplugged from shore power since 4PM last night, everything off that can be turned off. 12.29V DC, L 6.17 R 6.13. From what I can determine, I am at 60% charge after 1 night with no load.
I guess I need to take the batteries to have them tested at, they are not even 2 years old.
I am confused by the comments, converter is OK, need new converter...
I guess a question, what should the fully charged voltage across the batteries be? I think it is 12.8 - 12.7 considered full. But on the comments above, should I see 13.2? I'm leaning towards a new converter but need to know if the problem is the batteries before I buy a converter. Need to act soon as only a couple weeks before our next trip with no power...