If such meeting shall decide in favor of incorporation and comply with the next preceding section, the presiding officer of such meeting and at least two other persons present and voting thereat, shall execute and acknowledge a certificate of incorporation setting forth:
Such certificate, when accompanied by a certificate of the bishop of the diocese within which the principal place of worship of the proposed corporation is, or is intended to be located, to the effect that he consents to the incorporation of such church, shall be filed in the office of the clerk of the county specified in the certificate of incorporation; but in case the see be vacant, or the bishop be absent or unable to act, the consent of the standing committee, with their certificate of the vacancy of the see or of the absence or disability of the bishop, shall suffice.
On filing such certificate in the office of the clerk of the county so specified therein the churchwardens and vestrymen so elected and their successors in office, together with the rector, when there is one, shall form a vestry and shall be the trustees of such church or congregation; and they and their successors shall thereupon, by virtue of this chapter, be a body corporate by the name or title expressed in such certificate, and shall have power, from time to time to adopt by-laws for its government. Such corporation shall be an incorporated church, and may be termed also an incorporated parish.
N.Y. Relig. Corp. Law § 41