What follows is a description of red-gravy from the internet. But Mom Hitch made it the same way, but with her own home-grown country ham cured by Dad Hitch! The name “red-eye gravy” (sometimes referred to as “red-ham gravy”) derives from the fact that a circle or oval of liquid fat with a slightly reddish cast will form on the surface of the gravy when it is reduced. This is the “eye” of the name.

A young Vina Pike (left) is pictured with her older sister, Mary, outside Mary’s house in Coburn, Kentucky. Edna estimates Mom Hitch was about 16 in this picture, which would have been taken in 1912.
“Red-eye gravy, to those unaccustomed to the nobler things in life, requires first a good, well-cured country ham. Smithfield and genuine Virginia hams are ideal for this.
Take a slice of uncooked ham with most or much of the fat left on. Fry the ham in its own fat until nicely browned on both sides. When it is cooked, transfer the ham to a warm platter and add boiling, black coffee to the skillet, scraping to dissolve the particles that cling to the bottom and sides.
That is red-eye gravy, which you pour over the ham or biscuits and serve.”
Gravies, Sauces, & Dressings, 2004