Considering the keel was constructed with steel from the twin towers I think it was always intended to be named Somerset. It is a place name though like the Arlington and New York.
BTW: the next carrier might very well be named Enterprise instead of after a US president. Personally I want it to be called the Lexington.
The Navy's ship naming is so screwed up these days any ship of any class can be named for anything-it doesn't matter. Look at USS Mesa Verde of this class. Everything I'm reading says it named after Mesa Verde Nation Park. WTF?
After three consecutive Republican carriers I'm betting the next one is named after a Democrat, probably FDR or JFK. All as a lead in to the USS William Clinton and the USS Barack Obama.