Whether there was a true marriage between Mary and Joseph?

Objections

Objection 1 : It would seem that there was no true marriage between Mary and Joseph. For Jerome says against Helvidius that Joseph "was Mary's guardian rather than her husband." But if this was a true marriage, Joseph was truly her husband. Therefore there was no true marriage between Mary and Joseph.
Objection 2 : Further, on Mt. 1:16: "Jacob begot Joseph the husband of Mary," Jerome says: "When thou readest 'husband' suspect not a marriage; but remember that Scripture is wont to speak of those who are betrothed as husband and wife." But a true marriage is not effected by the betrothal, but by the wedding. Therefore, there was no true marriage between the Blessed Virgin and Joseph.
Objection 3 : Further, it is written (Mt. 1:19): "Joseph, her husband, being a just man, and not willing to take her away [*Douay: 'publicly to expose her'], i.e. to take her to his home in order to cohabit with her, was minded to put her away privately, i.e. to postpone the wedding," as Remigius [*Cf. Catena Aurea in Matth.] expounds. Therefore, it seems that, as the wedding was not yet solemnized, there was no true marriage: especially since, after the marriage contract, no one can lawfully put his wife away.