The 33-year-old and husband Joe Swash, 40, welcomed their daughter on Saturday evening.
And tonight they teased fans that they had picked a moniker before sharing it with the world.
Stacey wrote: “🥀 Belle 🥀 Our little Belle. Our beautiful, delicate baby girl.
“Who will forever remind us of the bluebells that are about to bloom as you bring the spring with you into the world…
“And a little special connection to your Rose. To the moon and back Belle. Forever and always.”
Fans of the couple were convinced they were going to name the baby Pearl – after they spotted a number of pearls playing a part in her baby shower.
Sharing the first snap of the baby over the weekend, Stacey told fans: “She’s Here.
“Our beautiful, daughter born at home with all of your brothers and sister ready to snuggle you forever and ever.
“You literally flew into our world… And none of us can quite believe your thick dark head of hair that we just can’t get over.
“We can’t believe you’re here.
“Welcome to the world beautiful girl, thank you for the last few months in my tummy, we can’t wait to love you forever and ever we are so grateful we get to be your family.”
Stacey and husband Joe are already mum and dad to Rex, three, and one-year-old Rose.
The X Factor star is also mum to Zachary, nine, and Leighton, 13, who are from previous relationships.
Joe himself has a son called Harry with his ex Emma Sophocleous.
Stacey was shocked at finding out ‘late’ that she was pregnant.
She admitted it was a huge surprise and explained that she was “further along than usual” when she discovered the news.
“We actually found out way later then you would usually, so we are way further along than when you would usually tell people,” she said.
“So I was really, really nervous and it was a real surprise, but we are so grateful.”