Too many variables here, some of which were not addressed in original post. Are either of these parties baptized Catholics? Was the bride married before?
EVERY prior marriage, whether it took place in the Church or not, must be examined; there is no such thing as a marriage that is simply “ignored.” When a Catholic gets married outside the Church, that marriage is typically not subject to the lengthy annulment process, but is simply a “defect of form,” where baptismal certificate(s) establish that one or both parties was indeed Catholic, marriage certificate establishes that the marriage took place outside the Church, and a divorce decree establishes that the marriage is no longer in effect. This process typically takes thirty days or less. It will likely be what the bride faces, if she is a Catholic, due to her prior marriage. If she is not Catholic, then she will need a full-blown annulment.
However, since the groom here WAS married in a Catholic Church, then either he or his previous wife is Catholic, and the assumption remains that this marriage is still valid, until a marriage tribunal proves otherwise. This will probably involve the full-blown annulment process.
Neither party is free to marry until each of their former unions is dealt with. In the bride’s case this will probably be soon if she is Catholic, but in the groom’s case, not so much.
What, exactly, are they “arguing” with you? It sounds as if they are not only non-practicing, but one or both are possibly at odds with a proper understanding of sacramental Catholic marriage. Having a child out of wedlock at a not-so-very-young age hardly lends proof to any claims of understanding Catholic matrimony. It sounds as though the situation is completely out of your hands.
