(a) Upon the removal or resignation from office, or upon the death or incapacity of a sole executor or administrator, or if there are more than 1, all of them, administration shall be granted to a successor administrator or administrators in accordance with this title as though such administration were an original administration.
(b) A personal representative of a deceased executor or administrator shall not represent (unless expressly appointed) and shall have no personal liability or responsibility with respect to the estate being executed or administered by such decedent, other than to notify the Register of Wills of the death of the decedent's executor or administrator.
(c) Administration during the pendency of litigation concerning proof of a will or the right to administer, or during the absence of a personal representative appointed in accordance with the foregoing provisions of this title, may be granted by the Register of Wills of the county in which the decedent was domiciled, in the case of a domiciliary decedent, or by the Register of any county, in the case of a nondomiciliary decedent, as such Register, in the Register 's discretion, may deem appropriate. In the case of a nondomiciliary decedent, the administration which shall first be lawfully granted shall extend to all the estate of the decedent within Delaware, and shall exclude the jurisdiction of the Register for any other county during the pendency of such litigation or during the absence of such a personal representative.