Add the butter to the bacon drippings over medium heat and use a wooden spoon or stiff spatula to scrape clean the bottom and sides of the saucepan. Add the onions and celery. Toss to coat them in the bacon drippings and melted butter. Cook for 4 to 5 minutes until slightly soft. Add the garlic, thyme, tarragon, oregano, salt, pepper, hot sauce, and Worcestershire sauce. Cook for 2 minutes, stirring often.
Sift in the flour, stir to combine, and cook for 2 minutes, stirring often.
Add the warm chicken concentrate, ¼ cup at a time, stirring constantly, and scraping the pan clean before adding the next ¼ cup. Add the warm half & half, ½ cup at a time, stirring constantly, and scraping the pan clean before adding the next ½ cup.
Add the bay leaves, the reserved juice from the canned clams and the 8-ounce bottle of clam juice to the saucepan. NOT the clams.
Bring the soup to a low boil, then reduce to a simmer, (just bubbling lightly around the edges of the pot) for 10 minutes, stirring occasionally.
Add the potatoes to the soup and cook until softened, 20 to 25 minutes.
Turn the heat down to low and stir in the strained baby clams and whole clams to heat them up.