The name Logan is a Scottish baby name. In Scottish the meaning of the name Logan is: Finnian's servant. The name Logan is an American baby name. In American the meaning of the name Logan is: Finnian's servant. The name Logan is a Gaelic baby name. In Gaelic the meaning of the name Logan is: From the hollow. Numerology. People with this name have a deep inner need for quiet, and a desire to understand and analyze the world they live in, and to learn the deeper truths.