Melt 1 tablespoon butter in a large pan and add the country ham slices. Heat a few minutes to warm them through, flipping once. Remove and add to a serving platter.
To the hot pan, add the black coffee, water and extra butter. Bring to a boil and scrape the bottom of the pan to remove any flavorful bits.
Reduce the heat and simmer 8-10 minutes, to thicken and reduce the red eye gravy by half or more. Stir in honey and cracked black pepper to taste.
Serve over the ham. I like to serve country ham with red eye gravy with creamy grits and/or buttermilk biscuits.
