Article — Slater, Manual of Moral Theology
Article III. Previous Marriage
One who is already married cannot validly contract a second marriage unless the former bond is dissolved by one of the means described above, or by the death of the other spouse. Previous marriage, then, is a diriment impediment of a second marriage as long as it subsists, by the law of nature and by positive divine law. This impediment, therefore, binds all men, whether Christian or heathen. It is not lawful for one who has been married before to contract a second marriage, unless there is certain proof that the first marriage has been dissolved by lawful authority or by the death of the former spouse (Can. 1069).
If the decease is proved by a certificate of death or some similar authentic document, or by two witnesses who are above suspicion, or by any other legitimate means, the parish priest may allow the second marriage. If, however, there is no certain - proof to be had, and it is doubtful whether the party in question is free to marry, the case must be referred to the bishop, who will investigate the circumstances, and if any prudent doubt remain he will not allow the second marriage without consulting the Holy See. Sometimes in special circumstances the Pope allows a second marriage, even when strict proof of the death of the former spouse is not obtainable, as he did in the case of the wives of the Italian soldiers who perished in the battle of Adoua.1
1 S.0., July 20, 1898.
p. ii, 216–217
If a person has unlawfully contracted a second marriage without the necessary certainty concerning the death of a former spouse, it does not follow that the second marriage is invalid, and that the parties must separate. If there is only slight doubt about the death of the former spouse, after making fruitless inquiries, the parties may live together as man and wife. If only one of the parties is in bad faith and is not certain of the death of a former spouse, while the other knows nothing of the difficulty, he should render the marriage debt, but he has no right to ask it as long as he remains in bad faith. If both parties are in bad faith, they cannot lawfully use marriage as long as they are in that state. Inquiries should be made, and if probable reasons can be discovered for thinking that the former partner is dead, they may use marriage, according to a probable opinion. For even in this case the marriage has been contracted, it is probably valid, and it is not certain that anyone else has a prior right, so the parties should be allowed to use it. If the second marriage was contracted in good faith, and a doubt about the death of a former spouse arises subsequently, inquiries should be made, and if they are fruitless the parties may live as man and wife. Of course, in all cases when it is found out for certain that a former spouse is alive, the second marriage is invalid, and the parties must separate, or at any rate must not live as man and wife together.
English law enforces this impediment, but if a former spouse has not been heard of for seven years or more, it will not punish the other party as guilty of bigamy if he marries a second time, although he must separate if the former spouse appear subsequently.
p. ii, 217