I've never made pickled carrots, but I did find some recipes for you.
Here's one:
PICKLED CARROTS
Recipe By :
Serving Size : 6 Preparation Time :0:00
Categories :
Amount Measure Ingredient -- Preparation Method
-------- ------------ --------------------------------
2 c Sugar
2 c Vinegar
2 c Water
1 tb Whole mixed spices
Small carrots
Salt
Scrape and wash carrots. Boil until tender in water to which 1/2 teaspoon salt has been added per quart. Pack in sterilized jars. Fill jars to within 1/4 inch of top with syrup made by boiling together vinegar, water, sugar, and spices.
Got that one here:
http://www.recipesource.com/fgv/pickles/01/rec0132.html
Here is another:
Pickled Carrots
2 lb. carrots, pared and sliced thin
1 cup chopped onions
one can tomato soup (undiluted)
1 cup sugar
3/4 cup wine vinegar
1/2 cup salad oil
1 tsp. salt
1 tsp. mustard
1 tsp. worcestershire sauce
1/4 tsp. pepper
Cook carrots in boiling water until tender (about 4 minutes). Combine remaining ingredients and pour over drained carrots. Cover and refrigerate 2 days. Drain and serve.
Excellent and colorful summer side dish.
Got that one here:
http://www.grannys-coupons.com/recipes/sides/pickledcarrots.html