Season chicken quarters generously with salt and pepper on both sides.
Heat ghee in a large frying pan over medium-high heat and brown chicken quarters in two batches until golden on all sides.
Transfer browned chicken to a 6-quart stove-top covered casserole, leaving the fat in the pan.
Add minced garlic and chopped onions to the same pan and sauté until golden brown.
Transfer the garlic-onion mixture to the casserole with the chicken.
Add ginger, cumin, ground mustard seeds, cinnamon, cloves, turmeric, cayenne, and paprika to the casserole.
Sauté the spice mixture for 2-3 minutes until fragrant.
Add lemon juice, vinegar, brown sugar, salt, water, and prepared tamarind liquid to the casserole.
Cover and simmer until chicken is tender, approximately 45 minutes, stirring occasionally.
During the last 10 minutes of cooking, partially remove the lid to allow sauce to thicken.