Va. Code § 55.1-122
When any person dies possessed of a life estate in real estate that was assessed with taxes in the name of such life tenant for the year in which such life tenant dies and such taxes are paid for that year by any person other than the remainderman entitled to such real estate, such person or his estate so paying such taxes shall be entitled to recover from such remainderman such proportionate part of the sum so paid as that part of the year following the death of the life tenant bears to the entire year, provided, however, that if upon the death of the life tenant the real estate shall come into the possession of another life tenant, such recovery shall be had from the subsequent life tenant and not from the remainderman.
Va. Code § 55.1-122