A digital multi meter (DMM), especially one with a built in "amp clamp" is a very usefule thing to have. Many to choose from on Amazon for less than $50 (check the Uni-T brand). These should be more accurate then the built in meter, but probably not by much. Maybe +/- 0.1V-0.2V
I would not trust those little, cheap Chinese volt meters that you find on eBay for under $10.
FYI - There is no such thing as a TRUE "deep cycle" Group 27 battery. What you have is a dual purpose battery. Depending on your requirements (size of your load and how long you want to run it), you may be better off with TWO 6v golf cart batteries. These are TRUE deep cycle. You can discharge them more and they will last through more charg/discharge cycles than dual purpose batteries.