Del. Code tit. 10, § 102

The Supreme Court may obtain such office space for each of the Justices thereof as shall be necessary and appropriate to permit the Justices to properly carry out their duties. The offices of the respective Justices need not be in Dover and may be in the counties where the Justices, respectively, reside. Bills for such office rent shall be paid by the State Treasurer when approved in writing by any Justice of the Court.