• (n.) A butcher. • (n.) A two-handled, convex, blunt-edged knife, for scraping hides; a fleshing knife.
Meaning as a surname: A butcher
Flesh'er noun 1. A butcher. « A flesher on a block had laid his whittle down.» Macaulay. 2. A two-handled, convex, blunt-edged knife, for scraping hides; a fleshing knife. 
The flesh piece from a thick woolly sheep which has been split into two layers. Used to make chamois. The grain is made into a skiver. Sometimes for cost and easy maintenance the material is part tanned and then split. The grain is then called a pliver. The flesh created in this latter way will not make true chamois.
a person who fleshes hides. · a tool for fleshing hides.