Baby A, a girl, was born to a 21-year-old, third-level student living in a provincial town in the summer.
Last May, when she was seven months pregnant, the woman contacted the centre after seeing its advertisement and said she wanted to give her baby up for adoption.
The centre's founder said he and his wife would be glad to adopt the baby.
The baby was handed over to the couple when it was four days old. It is now with Eastern Health Board foster parents.