Preheat the oven to 350 degrees. Grease a 9 x 13 inch casserole dish.
In a sauce pan, melt 6 Tablespoons of the butter over medium heat. Add the celery and onions and saute until softened, 5-6 minutes. Add the rest of the butter and the chopped herbs, stirring for about a minute, until the butter is melted.
Pour the celery and onion mixture into the prepared casserole dish. Top with the stuffing mix. Pour the chicken broth evenly over the top, followed by the eggs.
Stir the mixture very well, until all the breadcrumbs are moistened, and eggs and veggies are fully incorporated. Smooth the top.
Bake for 20-25 minutes, until the mixture is golden brown and crisped on top. If you want it crispier, bake an additional 5 minutes.