'Disco Love' singer Frankie and her fiancé Wayne Bridge welcomed Parker last Friday (18th October) and tweeted after the birth to say they were "absolutely besotted" with their new arrival.
Now Frankie has updated fans on Twitter, saying that both mother and baby have returned home and are "happy and healthy".
First-time mum Frankie, who is never too far away from her two little pals - Pixie the Chihuahua and Presley the Pug - also said that her dogs have welcomed baby Parker into the family.
She tweeted last night (21 October): "All home happy and healthy. Thank you for all your lovely messages. I'm so in love... Prez and pix approve of their new baby brother too!"
All home happy and healthy. Thank you for all your lovely messages. I'm so in love... Prez and pix approve of their new baby brother too!— Francesca Sandford (@FrankieTheSats) October 21, 2013
Frankie's bandmates visited little Parker on the weekend and took to Twitter to share their joy.
Rochelle Humes, who gave birth to daughter Alaia-May in May, said (19 October): "Just been to have a squeeze of Parker. He's adorable, @frankiethesats is doing so so well! What a natural! Lovely little family x."
Una Healy, who is mum to Aoife-Belle, added: "All The Sats Aunties have fell in love with little Parker today! He is so so cute and perfect. @FrankieTheSats looking amazing too x."
Meanwhile, The Saturdays are celebrating the success of their fourth studio album Living For The Weekend, which debuted in the charts at No. 10 this week.
Check out other stars who have given birth this year in our gallery below:
Copyright: Love & Lust London