Preheat oven to 400 degrees
Remove Cornish game hen from packaging. Rinse hen and make sure to pour out excess juice from cavity
Season all sides with 2 teaspoons each salt & pepper. Smear all sides with butter. Put garlic and herbs into cavity
Peel carrots, cut into 2-3” length pieces. You want all the pieces to be about the same size. Cut Brussel sprouts in half lengthwise; if they sprouts are larger, you can cut them into fourths. The key is for them all to be about the same size. Peel onion, cut lengthwise in half, and then cut each piece into half until you get 6 chunks
Season vegetables with salt, pepper, onion powder and garlic powder
Put vegetables into roasting pan, and add 1 cup of broth. Put Cornish game hen on top of vegetables, and put roasting pan into oven on the top rack
Cook for 30 minutes. Add remaining broth, plus white wine. Stir vegetables.
Cook for another 20 minutes. Remove roasting pan from oven. Remove the bird and vegetables out of roasting pan, set aside, and cover loosely with aluminum foil to rest for 5 minutes.