Below, Fr. Mueller, in a Catechism approved by Rome, teaches the doctrine verified in the case of Mrs. Rosalie Cohen.
Notice also that precisely those same two doctrines St. Athanasius, St. Thomas, St. Alphonsus etc say were confessed.
The Holy Trinity and the Incarnation explicitly: the woman said, "O Jesus God of the Christians ... I believe in You!"
From:
http://www.catholicapologetics.info/thechurch/catechism/familiar.htm"
Q. What are we to think of the salvation of those who are out of the pale of the Church without any fault of theirs, and who never had any opportunity of knowing better?A. Their inculpable ignorance will not save them; but if they fear God and live up to their conscience, God, in His infinite mercy, will furnish them with the necessary means of salvation, even so as to send, if needed, an angel to instruct them in the Catholic faith, rather than let them perish through inculpable ignorance.
Q. Is it then right for us to say that one who was not received into the Church before his death, is damned?
A. No.
Q. Why not?
A. Because we cannot know for certain what takes place between God and the soul at the awful moment of death.
Q. What do you mean by this?
A. I mean that God, in His infinite mercy, may enlighten, at the hour of death, one who is not yet a Catholic, so that he may see the truth of the Catholic faith, be truly sorry for his sins, and sincerely desire to die a good Catholic.
Q. What do we say of those who receive such an extraordinary grace, and die in this manner?
A. We say of them that they die united, at least, to the soul of the Catholic Church, and are saved.
Q. What, then, awaits all those who are out of the Catholic Church, and die without having received such an extraordinary grace at the hour of death?
A. Eternal damnation.