The event involves English Catholics making a personal "Angelus promise" to God in union with the "yes" of Mary at the Annunciation.
"We are specially at home when we are at the family table," the cardinal said.
Bishop McNaughton's achievements included holding a diocesan synod in 1999-2000 and opening an Incheon diocesan major seminary.
"This is a challenge for young people. They are facing uncertainty and insecurity about their future."
"All of humanity is bound by a basic fraternity grounded in the God who has created us."
The saint's birthday was a major celebration in the house when she was alive, and the nuns continue to celebrate it even after her death in 1997 and canonization in 2016.
"I hope that whatever happens, we can continue to journey together for peace in Mindanao."
In his homily, Archbishop Aupetit stressed the purpose of Notre Dame as a place of Christian worship, and not an ornament of the secular state.
Pope Francis also visited the Roma, or Gypsy, community, asking forgiveness for times when the Church excluded them.
The decision to allow organized pilgrimages, banned by the local bishops' in 1991, recognizes the need to provide spiritual accompaniment and care to the tens of thousands of Catholics who travel to Medjugorje each year.