Rochester winters can include snow, thaws and rain rather than one continuous freeze. Snow piled beside a house may release water at the same time roof runoff reaches the foundation. The useful question is where that water goes at this property. Look at the ground, downspout outlets and basement together instead of assigning one cause to the season.
Older stone foundations, block walls and poured concrete do not present identical entry routes. A masonry joint can behave differently from the junction between the wall and slab. Soil beside an excavated foundation may also differ from material farther into the yard. This site does not assign one soil type or water-table level to Rochester or all of Monroe County.
The National Weather Service describes Rochester weather as changeable through winter and thaw periods. Building Science Corporation describes the importance of moving roof and surface water away from foundations. These are general explanations, not measurements of your yard. Your observations help turn a regional weather story into a property-specific discussion.
If water looks like a plumbing or sewage backup rather than seepage, say so during the call. The source and appropriate trade may differ. For a proposed discharge arrangement, confirm with your town or Monroe County.