Chicken Stew with Dumplings

This one if from my momma. The best dumplings I think I've ever made.

2 Tbsps (1oz/28gr) salted butter
2 leeks, white parts only, sliced ¼" (10oz/300gr)
4 carrots, diced (8oz/228g)
24 oz/228g skinless chicken breast, cubed
½ tsp salt
1 Tbsp flour
1½ cups chicken broth (12oz/354g)
2 tsp fresh thyme
1 cup fresh green peas (5oz/145g)

Dumplings
1¼  cups flour (6.6oz/188g)
3½  tsps baking powder
½  tsps salt
½  cup Milk (4oz/177g)
1 egg

1. Pick a large saucepan with lots of head room. You'll need enough space for the stew and then for the dumplings to cook on top.
2. Melt the butter over medium-high heat. Add the leeks and carrots; sauté until the leeks are translucent. 
3. Season the chicken cubes with salt and add to the cooking veg in the pot.
4. Stir over medium-high heat until the chicken is just cooked. Add the Tbsp of flour and mix well to cover and fry a couple more minutes, enough to toast the flour a bit to cook out the raw flour taste. 
5. Add the broth stirring constantly to make sure the flour doesn't clump. Cook over medium heat until the liquid thickens, about 5 to 10 minutes. 
6. Add peas and thyme. 
7. Turn down heat and simmer.

FOR THE DUMPLINGS

1. Mix together the dry ingredients. 
2. In a separate bowl, mix milk and egg together. Dump wet over dry and, to avoid tough dumplings, mix only just until blended. 
3. Divide the dough into four portions and gently plop on to the stew in the pot. Cover and cook 14 minutes NOTE: Do not lift lid until done since the dumplings need the steam to cook properly.