The darker gray one is a Narragansett. It is a bronze based bird with two recessive Narragansett genes (go figure).
The other turkey has one or more blue genes. Blue genes are dominant so it only takes one to show blue. However, how the blue is expressed and what pattern depend on lots of other things...is the turkey black based, bronze-based, or black-winged bronze base. Does it have one or two blue genes. I have never raised blue turkeys, so I am not good at telling those things apart. However, the black feathers on the back are probably an important clue as to which type of blue turkey you have. Blue palm is not out of the question.
You can tease out the possibilities by breeding the blue hen top something else, and seeing what you get. For instance, lets say it is a blue palm with one blue gene (not saying it is, mind you). If you crossed that with a standard bronze tom, all offspring would have a bronze based gene and a black-winged bronze gene. Since bronze is dominant to black-winged bronze, they would all look bronze based, most of which have barred wings. They would all have a single gray gene, and would look like they did not have the gray gene, so none would look like palms. They would all get "not Narragansett" genes from the tom, and Narragansett genes from the hen, and would not look like Narragansetts. Finally, if the hen only had one blue gene and one not blue gene, half would look blue and half would not. The half that did not would look like standard bronze. This would be true whether or not the hen had the gray genes or not, and whether the hen had Narragansett genes or not. You would need a second generation to start testing for those.
There are many other breeding possiblities that would help start to figure out what the genetics of your blue turkey are. Unfortunately with one hen, you have to gueass and try one thing at a time. Maybe it's enough to know it carries at least one blue gene.