Taking to her Stories, the 45-year-old revealed a candid snap of Annie relaxing in her pram. Captioning the sun-kissed photo, she wrote: "running errands in the [sun]."
WATCH: Alex Jones returns to The One Show after welcoming baby Annie
Annie's head can just be seen from underneath a blanket, and on top of the buggy were a bunch of flowers wrapped in brown paper.
Later that day, Alex enjoyed a night at the theatre and snapped herself as she headed off to watch To Kill a Mockingbird at the Gielgud theatre, in a stunning blue patterned outfit.
Alex shared the update with her 337,000 followers
Last week, the star had a nerve-wracking morning in hospital after her two-year-old son Kit underwent surgery.
Documenting her emotions as she waited for her son's return, Alex took to her Instagram Stories.
She penned: "Waiting for my little Kit to come back from theatre after a very routine op but feels like the longest morning of my life!" on a photo of an empty hospital bed.
Alex is married to husband Charlie Thomson
Life has been non-stop for the One Show star as also last week, she was away filming for a new series on location at where appeared to be stunning wedding venue, Iscoyd Park in Wrexham.
Captioning a 'getting ready' reel Alex penned: "Filming a new series and wanted to give you a little taste of what I’ve been up to. Photos and vids by my wing man/makeup artist extraordinaire @lizbeckettmua."
Fans were delighted to leave their comments on the video. One fan replied: "Looks beautiful where you are! And you look stunning xx." A second left their well-wishes for Kit and wrote: "Much love to your wee Kit from a fellow Annie."
A third replied: "Love the cardi." A fourth wrote: "What a great little video. Looking beautiful too!"
A fifth added: "This is such a dreamy clip."
Like this story? Sign up to our HELLO! Mail newsletter to get other stories like this delivered straight to your inbox.