The general theme of that winter was warm. It looks like March was the best month.
https://www.weather.gov/buf/wintersummary0102
NOVEMBER
November was a remarkably mild and dry month across all of western and central New York. There was no snow in Buffalo for the first time ever..
DECEMBER
December continued the trend from October and November with plenty of mild dry weather right on through the 23rd.
JANUARY
The month began with the cleanup from the huge holiday week storm in the areas east of both lakes...but soon reverted to the unusually mild and dry pattern so prevalent in November and most of December.
FEBRUARY
The month began with the tail end of the major synoptic ice and windstorm, and then was closely followed by a combined synoptic and lake effect system that dropped the heaviest snow of the season for much of the Rochester area and Genesee Valley and Finger Lakes region with 4 to 8 inches. The month then reverted to the all too familiar mild and dry pattern so prevalent this winter.
MARCH
March was the most active winter month across western and central New York this season, as winter and spring battled it out with some fierce winds and a variety of storms.