In a large pot of dutch oven, melt the butter.
Season the chicken thighs with salt and pepper.
Sear/brown both sides in the melted butter.
Add in the onions, celery, and carrots. Cook for 5 minutes or until the veggies start to soften.
Stir in the broth and water.
Bring to a boil.
Reduce heat and cook 30 minutes or until the chicken is cooked through (internal temp is 165F)
With tongs, remove the chicken thighs to a plate and let cool slightly. Remove the bones and skin. Shred the meat.
Return the broth mixture to a boil.
Stir in the shredded chicken and rice.
Reduce heat to low and cook, uncovered, the rice is done (the water level will drop below the surface of the rice slightly.
Season with salt and pepper if desired.
Enjoy warm!