Possible Clues:

• Horse on meadow close to stiff bit of laurel
• Dried herb used in cooking
• Horse on a grassy field is initially fed something Laurel dropped
• Bouquet garni element
• Ingredient in many a 56-Across
• Pungent spice from the laurel tree (2 words)
• Dried aromatic seasoning used in cooking (2 words)
• Article in Times left unfinished without a herb used in soups
• Dried herb from an evergreen shrub
• Soup flavorer from a tree