(a) In all cases where any tract of land may be owned by two (2) or more persons as joint tenants, coparceners, or tenants in common, and one (1) or more proprietors shall have paid the tax or tax and penalty charged on his or her proportion of the tract, or one (1) or more of the remaining proprietors shall have failed to pay his or her proportion of his or her tax or tax and penalty charged on the land and partition of the land has or shall be made between them, then the tax or tax and penalty, paid as indicated, shall be deemed to have been paid on the proportion of the tract set off to the proprietor who paid his or her proportion of the tax or tax and penalty, and the proprietor so paying the tax or tax and penalty, as indicated, shall hold the proportion of the tract set off to him or her, as indicated, free from the residue of the tax or tax and penalty charged on the tract before partition, and the proportion of the tract set off to the proprietor who shall not have paid his or her proportion of the tax or tax and penalty, remaining unpaid, shall be charged with the tax or tax and penalty in the same manner as if the partition had been made before the tax or tax and penalty, had been assessed.

(b) Whenever any land so held by tenants in common shall be sold upon proceedings in partition or shall be taken by the election of any of the parties to such proceedings, or when any real estate shall be sold at judicial sale, or any administrator's, executor's, guardian's, or trustee's sale, the court shall order the taxes and penalties and the interest thereon, against the lands to be discharged out of the proceeds of the sale or election.