Never had this problem, but if I was you, then I would remove my headlight assembly and inspect it. Look for anything, like rust or gunk that would allow the headlights to move while mounted. Also, I do not have a 127, so I am unsure about the mounting brackets on it, but on my 123 I notice there is a rectangular notch in the mounting brackets on back that fit around an embossed rectangular notch on the back of the headlights. It could be that you are not "seating" the headlights in properly causing them to vibrate with the tractor and resulting in this problem. My cubs are many miles from me.....sorry, pics are not possible to further explain this situation. Lay the mounting bracket flat, face down on something, then as you put two new headlamps in, inspect their mounting to make sure that it is "even" and secure with the notch in the bracket around the embossed rectangle on the back of the headlamp, then replace the entire assembly into your cub and you should be off and running.
Cub Cadet 123
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Still don't know what I'm doing in OHIO?.....If you find me, then please point me back toward INDIANA. 
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