Proof of a will may be taken without notice to persons interested, unless such a person requests it by petition filed with the Court of Chancery. Upon receiving such petition, the Court shall, and in any case it may, appoint a time for taking the proof, and issue subpoena, requiring any person to be present at the taking of such proof. In respect to persons not within the State it may order such service or publication of notice as it deems proper.
12 Del. C. § 1303