What is Prerogative Court?

Legal Definition
A prerogative court is a court through which the discretionary powers, privileges, and legal immunities reserved to the sovereign were exercised. In England in the 17th century a clash developed between these courts, representing the crown's authority, and common law courts. Prerogative courts included the Court of the Exchequer, the Court of Chancery, and the Court of the Star Chamber. Their procedures were flexible and not limited by common law procedures. The Star Chamber became a tool of Charles I employed against his enemies, and was abolished by parliament. A parallel system of common law courts was grounded in Magna Carta and property rights; the main common law courts were the Court of the King's Bench and the Court of Common Pleas .
-- Wikipedia
Legal Definition
Eccles. law. The name of a court in England in which all testaments are proved and administrations granted, when the deceased has left bona notabilia in the province in some other diocese than that in which he died. 4 Inst. 335.

2. The testamentary courts of the two archbishops, in their respective provinces, are styled prerogative courts, from the prerogative of each archbishop to grant probates and administrations, where there are bona, notabilia; but still these are only inferior and subordinate jurisdictions; and the style of these courts has no connexion with the royal prerogative. Derivatively, these courts are the king's ecclesiastical courts; but immediately, they are only the courts of the ecclesiastical ordinary. The ordinary, and not the crown, appoints the judges of these courts; they are subject to the control of the king's courts of chancery and common law, in case they exceed their jurisdiction; and they are subject in some instances to the command of these courts, if they decline to exercise their jurisdiction, when by law they ought to exercise it. Per Sir John Nicholl, In the Goods of George III.; 1 Addams, R. 265; S. C. 2 Eng. Eccl. R. 112.
-- Bouviers Law Dictionary
Legal Definition
In English law. A court established for the trial of all testamentary causes, where the deceased left bono motabilia within two different dioceses; in which case the probate of wills belonged to the archbishop of the province, by way of special prerogative. And all causes relating to the wills, administrations, or legacies of such persons were originally cognizable herein, before a judge appointed by the archbishop, called the "judge of the prerogative court," from whom an appeal lay to the privy council. 3 Bl. Comm. 66; 3 Steph. Comm. 482. In New Jersey the prerogative court is the court of appeal from decrees of the orphans' courts in the several counties of the state. The court is held before the chancellor, under the title of the "ordinary." See In re Coursen's Will, 4 N. J. Eq. 413; Flanigan v. Guggenheim Smelting Co., 63 N. J. Law, 647, 44 Atl. 762; Robinson v. Fair, 128 U. S. 53, 9 Sup. Ot. 30, 32 In Ed. 415.
-- Black's Law Dictionary
Legal Definition
Same as Probate court. See 128 U. S. 53, 32 L. Ed. 415.
-- Ballentine's Law Dictionary