Mouzon was born and educated in Appalachian South Carolina, earning a degree from Wofford College in Spartanburg in 1889. As a bishop in the Methodist Episcopal Church, South, a post to which he was elected in 1910, he oversaw churches in West Virginia and elsewhere. Other work outside the region included pastoring churches in Texas and Missouri; teaching theology at Southwestern University in Georgetown, Texas; and doing missionary work in Mexico and South America.

Additional information can be found in articles in the Handbook of Texas and Dictionary of North Carolina Biography, and in the biographical sketch published alongside his sermon in William Stidger, If I Had Only One Sermon to Preach on Immortality (New York: Harper & Brothers Publishers, 1929).