speedy petey is right. why 14-3? 12-2 w/g is your wire. is the power that energizes the light ran to the light and then tied to a switch leg at the ceiling box? or is it ran to the switch and then travels on to the light? if the switch has only one wire at it, that is a good indicator the power is supplied to the ceiling box. if it is wired the way you explained, then the closet light will only work if the ceiling light is on. i think you are confused and probably have power at the light. if you are not knowledgable in wiring and are going to do this yourself, be careful. if they are several wires in the ceiling box, you probably have hot there. if two or three black wires are twisted together to one white wire in the ceiling then the multiple blacks probably mean you have power at the ceiling box and this is a single pole circuit. do you only turn the ceiling light off and on at one location? if so, read on. if not ,call for help. run a new "hot" wire from the ceiling box to the nearest recessed light and run a switch leg from the new recessed light to your new switch. tie the black hot wire you ran to your new light to the white of the switch leg. come back to the recessed light from the switch on the black side of the same wire. (you broke the color code going to the switch leg but now wound up back on track with black) tie this "switched" black wire to the light and use the white and ground from your original hot wire to complete the circuit. all you've done here is broke the hot wire at the switch. now all the rest of the lights can be wired in parallel to complete the circuit. meaning tie all the rest in the same way after the switching is done. kind of the same as plugging an extension cord into another extension cord. if not sure, label all wires in your on way to put them back if you get lost. code each wire and also code who went to where. make sure power is off while you do this. another hint to. you have joists in the attic. make sure they all fit symetrically for six recessed lights. the joists probably aren't there for a perfect fit for your lights. you may have to do some planning. don't cut the first hole till you know all lights fit. if not you will hit a snag with the joists being where they are. in short, you can shift the cans around in your planning. the joists don't shift. good day, budro