Purgatory for those who are saved outside the Church? The Catholic Church teaches that some might be saved outside the Catholic Church.
This question relates to those, for example a non-denominational Christian that lives his life ignorantly but faithfully to what he believes is the Truth. Such a person dies, without the Graces of the Sacraments, but by God's grace alone is seen to be one of his children and graced with eternal Salvation.  According to Catholicism, would that soul be responsible to pay the punishments for sin, which where not expiated during this life?
I thought I would share some relevant words from 'The Life and Revelations of Anne Catherine Emmerich':


  “I was present when God passed sentence on notorious sinners. Great is
  His justice, but still more inconceivable is His mercy. He damns only
  those who are determined not to be converted; they who have a spark of
  good will are saved... I have seen in Purgatory Protestants who were
  pious in their ignorance; they are very desolate, for no prayers are
  offered for them... I saw that by our prayer and suffering, many a
  soul who labours not during life, can be converted and saved at the
  hour of death.”


It is important for us to remember the Church's doctrine: they are saved who die in a state of grace. Who knows how many accept God in their final moments e.g. through an act of perfect contrition.

Revelation 21:27


  but nothing unclean will enter it, nor any[one] who does abominable
  things or tells lies. Only those will enter whose names are written in
  the Lamb’s book of life.


Matthew 5:26


  Amen, I say to you, you will not be released until you have paid the
  last penny.