However, the star has now revealed that it isn’t that it’s a secret, it’s just that she and Swash have not settled on the perfect moniker yet.
Sharing a snap on Instagram showing her cuddling her newborn, Solomon wrote: “We haven't slept in a while but we are resting here having cuddles.
"I'm hoping my milk comes in today.
“Your messages are getting me through the night feeds. Love you.
"We still don’t have a name for her yet, but she’s just so amazing."
The TV star also confessed that she hasn’t changed her pyjamas for a bit.
“This bubble is so surreal,” she said. “I’m going to change my pyjamas today I’ve become a bit sentimental to them and I’m worried she might not like fresh ones."
Solomon is already mother to two-year-old son Rex with Swash, as well as sons Zachary, 13, and Leighton, nine, from two previous relationships.
Former EastEnders star Swash, 39, also has 13-year-old son Harry from a former relationship.
Solomon gave birth to their daughter at their home, Pickle Cottage, on Monday, the same day she turned 32.
Announcing her arrival, the star wrote on Instagram: “She’s Here.
“Born at Pickle Cottage on mummy’s birthday.
"Our little girl… Happy birthday my darling daughter… We all love you more than you could ever imagine. Your brothers, your daddy and I are so in love. Thank you for the most incredible 9 months. Now we cannot wait for the rest of our lives with you…”
Watch: Stacey Solomon welcomes baby girl at home in Pickle Cottage