I would think that once a tax bill has been issued, it has become a lien on the property; you don't have to wait until it's OVERDUE.
Real Estate Taxes are accruing constantly.
Every jurisdiction has it's own methodology, or usual and customary manner of prorating taxes for a Closing; but most will have the Seller being responsible through the date of Closing, and the Buyer responsible for the taxes thereafter.
Here in Vermont, we tried to legislatively standardize everything Statewide with all School Taxes being prorated on a Fiscal Year beginning July 1st thru the Date of Closing and prorating our Municipal Taxes on another Fiscal Year from January 1st through the Date of Closing.
That was greated with glee by the Attorneys and Accountants; because now, no one can explain or understand anything anymore . . . . but they all agree on one thing "Taxes are never really paid up." (unless they are paid well in advance)
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Dale C. Hittle of GOLDEN RULE PROPERTIES in Glover, Vermont
Where We're Always Striving To Put Together "THE FAIR DEAL"