Black Beans With Smoked Ham Bone

ham bone from hind quarter,
5 oz. onion,
2 oz. carrots,
3 oz. celery,
4 garlic cloves,
1 qt. chicken broth,
3 c. dried beans, soak overnight.
1 qt. water,
2 tsp. dried thyme,
1/2 c. scallions added at serving,
1 tsp. salt,
1/2 tsp. black pepper,
cooking time 1&1/2 hrs. yield 1 & 1/2 qts.