a. Any Roman Catholic diocesan corporation incorporated under an act entitled “An act to incorporate associations not for pecuniary profit,” approved April twenty-first, one thousand eight hundred and ninety-eight, or any of the acts amendatory thereof or supplemental thereto, or which may hereafter be incorporated under Title 15, Corporations and Associations Not for Profit.

b. Any Roman Catholic parochial corporation incorporated under an act entitled “An act to incorporate trustees of religious societies,” approved April ninth, one thousand eight hundred and seventy-five, or any of its supplements, or which may hereafter be incorporated under this title, except that any diocesan corporation organized under this article shall have jurisdiction over such parochial corporations as may be within the diocese, according to the statutes of such diocese and the canons of the Roman Catholic Church. Any such parochial corporation may give, grant, convey and vest the title to any or all of its properties to and in such diocesan corporation.