In November the couple went to China to meet Zoe and in December the adoption papers were formally approved.
So far, Zoe is not "thrilled" with the daily growth hormone shots, but is "doing all right," said Ward-Melver.
"Hopefully, we will see a lot of growth," said her mother. "You can see it at the [Turner Syndrome Society] meetings. You look at the women who did growth hormones and those who didn't, and you can see a significant height differential."
Zoe also has regular visits to the cardiologist and a hearing specialist, who found fluid in her ears and will put in tubes. She may soon take speech therapy at her new preschool, which she attends four times a week.
"But," said her mother of all the medical care, "we are trying not to overwhelm her."
Ward-Melver said she and her husband hope to eventually give Zoe a brother or sister.
"We are looking to start with a foster child who is available for adoption," she said. "Zoe loves being with other kids."
But in the meantime, Ward-Melver said of being a first-time parent, "I am loving it."