Del. Code tit. 9, § 8777

The death of any taxable shall not prevent the recovery under this subchapter of any tax due and owing, but the tax collecting authority shall proceed for the collection thereof against the personal representative of such deceased taxable. If the lands and tenements of a deceased taxable are to be sold, it shall be sufficient for the tax collecting authority to suggest the death upon the record and give notice as described in this subchapter to the heirs at law or devisees of the land, as the case may be, and the executor or administrator of such deceased taxable, if any there be within the county.