Chapter — Vermeersch, Theologia Moralis
Title IV: On Marriage of Conscience
— 1. Besides the Holy See, only the local Ordinary himself, the vicar general being excluded without a special mandate, can permit a marriage of conscience for a most grave and most urgent cause (c. 1104).
This permission carries with it the promise and grave obligation of preserving secrecy "on the part of the assisting priest, the witnesses, the Ordinary and his successors, and also of one spouse, if the other does not consent to disclosure" (c. 1105).
The Ordinary is released from this secrecy: a) if some scandal or grave injury toward the sanctity of marriage threatens from observance of secrecy (e.g., if the man wishes to contract other nuptials); b) if the parents do not take care of the baptism of the offspring, or offer the offspring to be baptized under false names, unless within thirty days they provide to the Ordinary notice of the offspring born and baptized with sincere indication, or if they neglect the Christian education of the children (c. 1106).
A marriage of conscience must be noted neither in the customary book of marriages nor in the book of the baptized, but in a special book to be kept in the secret archive of the Curia (c. 1107).
Summary
— This marriage, only for a most grave and most urgent cause, can be permitted by the Holy See alone or by the local prelate. This permission includes the promise and obligation of secrecy to be preserved of itself. This marriage is inscribed only in the special book.