Of the remaining ten months, the first four months – March, April, May, and June – have symbolic names:
March comes from Mars, the god of war (because March was the start of the fighting season).
We don't have a single h*cking clue where April comes from. It's a very symbolic name though, that's for sure. Trust me. I know these things.
May comes from Maius, an ancient deity whom we have since forgotten. Thanks Romans, you're great at writing stuff down. JK, it was probably just something the Arabs and Persians didn't hear about, since they're the ones who really kept the knowledge until the Renaissance when Europe was like "gib culture back."
June comes from Juno, the goddess of marriage and the queen of the gods... and the sister of the king of the gods – I won't go into Roman/Greek mythology, but it suffices to say there's a LOT of incest.
So, then we have the final six months: July, August, September, October, November, and December. Or, as they used to be called, Quintilis, Sextilis, September, October, November, and December. Notice anything?
Damn right, they're just given numbers – quinque, sex, septum, octō, novem, decem. Booooring. I can see why Julius and Augustus Caesar renamed the first two to match their names – July and August. Less numbers, more narcissism.