Dear Judy:

Our Lady of Vailankanni is also called Our Lady of Good Health. You can read the story from the website of the Vailankanni Church website or on the website of the Shrine.

As for approval, Our Lady of Good Health was never formally approved, but approval is implied when Pope John XXIII raised the Shrine to the status of a 'Basilica on November 3, 1962. The apparitions and the many healings was significant in the Pope's decision to raise the Shrine to the dignity of Basilica after Bishop Sundram requested this from the Holy Father when he attended the second session of Vatican II.

Here is the Apostolic Brief of Pope John XXII on the Elevation of the Shrine Basilica of Vailankanni to Minor Basilica Status:

1962 -- To perpetuate the memory of the event: We learn that at the illustrious church of Vailankanni within the limits of the Diocese of Tanjaore (India) the august Virgin Mary through her powerful intercession imparts to her clients health and is venerated with deep devotion. For pilgrims in large numbers approach the spot even from distant parts and participate in the sacred services especially during the Novena preceding the Nativity of the Mother of God, so much so that this shrine is not undeservedly hailed as the "Lourdes of the East". This singular zeal for the Marian veneration has been practiced from fairly ancient times.

Source: God-Sent: A History of the Accredited Apparitions of Mary by Roy Abraham Varghese

God Bless,
Bro. Ignatius Mary