The Saturdays star took Parker, who turns three in October, to the premiere of the latest Thomas & Friends movie, called The Great Race, at London's King's Cross Theatre on Sunday (22 May).
She later tweeted: "Such a fun day yesterday at the @ThomasFriends premiere, Parker & I loved The Great Race! #TeamThomas."
Former Strictly Come Dancing contestant Frankie, 27, is also mum to son Carter, born last year. She's been with footballer husband Wayne Bridge since 2010.
The Great Race is the latest Thomas and the Tank Engine venture. The storyline follows Thomas as he competes in the Great Railway Show against 13 new engines from as far afield as Brazil, China, India and Russia. It also features an animated version of the iconic Flying Scotsman.
Also in attendance was Michelle Heaton and her family.
The movie's exec producer Christopher Keenan said: "This film is our very first, fully-fledged musical adventure and will treat our fans to a high speed storyline, sing-along songs and many exciting new characters from countries across the world. We're incredibly excited to introduce audiences to Thomas's new friends in The Great Race, a story that is our biggest and best yet!"
The movie is showing in cinemas now. The DVD will be released on 5th September 2016.