An anagram is a word formed by rearranging all the letters of another word, using each letter exactly once. These words use every letter from "MSREGREE":
To rise out of a fluid; to come forth from that in which anything has been plunged, enveloped, or concealed; to issue and appear; as, to emerge from the water or the ocean; the sun emerges from behind the moon in an eclipse; to emerge from poverty or obscurity.