Grits: She prefers to use "Quick" grits (Quaker brand) rather than "Instant" grits. Quick grits, which has been pre-steamed and then dried, requires about 5 minutes cook time but it is more "authentic" in flavor and consistency than the "instant" variety. True old fashioned stone-ground grits will take way too long to cook.
For two small serving, in a small but deep pan, add milk (one cup, we use 1%) and just when it starts boiling, add salt (1/4 tsp) and grits (3 tbs) while stirring with a whisk, turn down the flame and cook covered for 5 minutes until all the milk gets absorbed. Add chopped fresh chives (3-4 tbs). She adds 1 pat of butter (1/2 tbs) but no cheese.
Poached eggs: I poach eggs very simply without any vinegar and without any special techniques or gadgets but works all the time. I used a 8 inch frying pan with non-stick surface and with a high side wall so that it can have enough depth of water to completely submerge the eggs. After the water comes to a gentle boil, I adjust the heat so no or only few bubbles form in the water (many bubbles result in egg-drop soup). I then add 1 tsp of salt (just for seasoning). I crack the egg into a small ramekin or bowl and gently slide the egg into the water. Repeat the process. After the white is set and the egg yolk becomes opaque on the surface (4-5 minutes), using the perforated spoon or silicon spatula gently pry the bottom of the eggs from the surface of the pan; take care not to break the yolk. The eggs should come loose without a problem because of the non-stick surface. Pick up the egg using a perforated spoon and drain on a paper towel-lined plate.
Place the grits in a bowl and put the poached egg on top. Sprinkle with salt and serve. For breakfast my wife serves this with her home-made buttermilk biscuit (another Southern specialty) but for the "shime" dish serve as is. Break the egg yolk and mix it with the grits. Even if you are not from the South, you will like this dish.