2013-14 is Columbus' 2nd snowiest winter on record with 56.4". Only 1909-10 saw more. Interestingly, while it was a cold winter there as well, it wasnt nearly as cold relative to normal as up here, ranking only as Columbus 28th coldest on record.
I do think you are remembering the storm of Dec 21/22, 2013. Columbus saw temps soar to 69F with 2.17" of rain (a half inch of snow did fall Christmas Eve however). Up here, we had rain and freezing rain, with a bad ice storm JUST to my north. What was interesting about it here, was that we had snow on the ground continuously from Dec 8 - Mar 29, but what had been an 8-inch snowpack whittled away to patches and piles on Dec 23rd and lasted for a few days. While Christmas had frozen patches, piles, and a fresh dusting, it wasnt an official White Christmas (we had T depth). Those few late Dec days centered on Christmas were the only such days we would see any grass until late mid-late March.