Add carrots, celery, onion, garlic, salt, pepper, and chicken broth in a slow cooker.
In a small bowl, whisk together cornstarch and chicken broth. Add mixture to the slow cooker.
Lay chicken thighs on top of vegetables and broth.
Add rosemary, thyme, and butter on top of the chicken.
Cook on high for 3 hours or low for 6 hours.
Make the dumplings while the stew is cooking. In a medium bowl, stir together the flour, baking powder, salt, rosemary, and thyme. Add milk and melted butter and stir until combined and a loose dough has formed.
When the stew finished cooking, remove chicken thighs. Shred chicken and add it back to the slow cooker.
Stir in the heavy cream, milk, and peas to the slow cooker.
Drop rounded tablespoons of the dumpling dough onto the stew, placing it evenly over the top. Cook the dumplings for an additional hour on high.
Serve hot.
Notes
The dumplings will look damp on the edges, but will be cooked all the way through on the inside.
Keep the lid on your slow cooker while the dumplings are cooking because you want to keep the heat in to properly cook the dumplings.
Chicken thighs are the best cut of meat for this recipe. If you substitute chicken breasts, your stew won’t have the same flavor and the meat may be more dry.