Baby Lucy Marie Perkins, born on August 16, is one in an apparent 48 million.
The firstborn child to parents Tom and Caitlin happens to share her birthday with her parents, who had both celebrated their joint 30th.
Obstetrician at Greenslopes Hospital, Dr Brad Robinson, said he had joked with Caitlin that Lucy would be born on her birthday.
He posted an image of the new family to his Facebook page and stated the birth was one in 48 million.
"I feel kinda bad now because I'd been goading Caitlin for a week that I was somehow going to make this happen - so she now blames me for putting a hex on her! How incredible is it that the three of them now have the same birthday?"