Del. Code tit. 12 § 3336
If a trust has no serving trustee for any reason, including the death, incapacity, removal or resignation of the last serving trustee of the trust, or due to the renunciation or declination of the last named successor trustee of the trust of its appointment as such, and if the provisions of the governing instrument do not include any provisions which can be effectively used to appoint a successor trustee, and if the only remaining dispositive provisions of the trust then require distribution of the remaining property of the trust to 1 or more beneficiaries (whether outright, or to 1 or more other trusts which do have a serving trustee), then the taking beneficiaries of the trust, by unanimous vote, may name a successor trustee of the trust without the approval of the Court of Chancery. For purposes of the preceding sentence, the person entitled to vote with respect to a beneficiary which is another trust which has a serving trustee is the trustee or trustees of such trust.
12 Del. C. § 3336