Two Amherst homes on the same street can pay materially different bills. Here is what the Williamsville school-district line usually does to the math.

Amherst property taxes run higher than a neighbor's when the home sits in Williamsville CSD instead of Amherst CSD, because the school mill rate is higher on the same assessed value. Two houses on opposite sides of Main Street can pay thousands apart for that line.
How does the Williamsville district line shift the bill?
The Williamsville Central School District levies its own mill rate, independent of the Town of Amherst. Where the district covers Williamsville village, Snyder, and parts of Eggertsville, the school-tax piece of the bill runs higher than in the Amherst CSD portion. Two homes with the same assessed value on the same block can pay a meaningful annual gap entirely because of which side of the district line they fell on.
When does this turn into an appeal?
The school-tax piece is not directly appealable, but the assessed value the model used to compute it is. When the spring valuation blends sales from across the district line, the high-rate side can end up paying the high rate on a value the local comp set does not actually support. Fair Appeal handles the full property tax appeal at the Amherst Board of Assessment Review and only charges a percentage of first-year tax savings when the value comes down. FairAppeal monitors the Amherst roll every year, not just once. For the full Amherst picture see the Amherst property tax appeal guide or the New York State grievance procedure.
Look up if you are overpaying on your Amherst home.
In Amherst, Williamsville school district homes carry a different tax rate than Amherst district homes a block away.