Dredge the frog legs with 1 cup of all-purpose flour.
In batches, fry the frog legs with 1 cup of vegetable oil in a dutch oven or cast iron pot (medium to medium-high heat). Cook completely through until golden brown. (A few minutes on each side) Set aside when complete.
Once the frying is complete, add the remaining 1/2 cup of flour into the oil to make a roux to the color of peanut butter.
Add in the tbsp of tomato paste and incorporate well.
Add in the vegetables, except the tomatoes, add the garlic. Cook until wilted.
Add the chopped tomatoes and cook for 2 minutes.
Add the 6 cups of stock. It will be loose and will thicken when you return the battered frog legs.