Poulet Au Vinaigre

I made this French chicken dish which comes from Lyon and it was absolutely delicious.  The sauce is superb. Here's what you need in software: 

• A chicken cut up into 8 pieces.  
• A few cloves of garlic, minced.  
• Four or so shallots, also minced.  
• A cup of white wine and a half a cup of red wine vinegar. 
• A tablespoon each of honey and
• tomato paste. 
• A cup of chicken stock. 
• A half stick of unsalted butter, cut into tablespoons.  

For hardware you'll need:

• One large saucepan with a lid
• Tongs and a large spoon
• A fine strainer (optional)

Season the chicken liberally with salt and pepper.  Heat up a large sauce pan to medium high heat.  Add a mixture of butter and olive oil and heat up.  Working in batches brown the chicken on all sides.  Remove the chicken and most of the fat from the pan.  Saute the shallots and garlic until soft, about 5 minutes.  De-glaze the pan with the wine and vinegar and honey.  Boil it down a bit.  Then add the tomato paste.  Reduce it a bit more.  Add the chicken stock and stir.  Put the chicken back into the sauce pan and reduce the heat to medium low and cover.  Cook for 45 minutes or so, basting the chicken from time to time.  When done, remove the chicken to a plate and cover with foil.  Increase the heat to high and boil down the sauce until it thickens.  Take the pan off the heat and strain the sauce (optional).  Return the sauce to the pan and swirl the butter in one T. at a time until it thickens.  Serve the sauce alongside the chicken.  Serve with a macaroni au gratin or mashed potatoes and some green beans.  Also, some good bread.  You'll need it to sop up the sauce.  Bon Appetit!