Heat butter in skillet over medium heat. Add celery and saut3 2 minutes. Remove celery from pan and set aside.
Assemble and attach KitchenAid® Food Grinder attachment to the KitchenAid® Stand Mixer. Using the coarse grinding plate, turn to Speed 4 and grind celery and apricots into a bowl. Add butter from saut3 pan, rice, salt and allspice; mix well.
Stuff each hen with mixture. Truss hens and crisscross 2 strips of bacon over each hen. Place on rack in baking pan and bake at 350°F for 1 1⁄2 to 2 hours. Serve immediately.