It looks like we should expect 3-6 inches of snow across the County by Thursday morning and I wouldn't be surprised to hear of higher amounts if this system moves across the County as forecasted.
The NWS has placed Jefferson County in a Winter Storm Watch for the time frame of noon on Wednesday to 6am Thursday morning.
Here are the forecasted snowfall amount from the NWS.
Based on current models we should see the snow enter the County around 1-2pm on Wednesday and carry into Thursday morning.
Here is the current Wednesday 1pm model.
Here is the current Wednesday 4pm model.
Here is the current Wednesday 7pm model.
I will update this Wednesday mid-morning as situation becomes clearer.