A Christian who does this is
In breach of faith toward the Giver of All Gifts
The Vicar’s actions here will be remembered
He has forgotten that our lives are not ours to take
We do not have ownership, we have a greater thing
Stewardship
The Mother, Daughter, and Vicar are profoundly in error
Not only so, but we[c] also rejoice in our sufferings, because we know that suffering produces perseverance; 4perseverance, character; and character, hope. 5And hope does not disappoint us, because God has poured out his love into our hearts by the Holy Spirit, whom he has given us.
I'd hope a man of god would use this teaching, rather than support suicide.