Carly Beaker is the biological mother of Tracy Beaker.
Carly in the television series
In the first season of the classic series, Tracy's mother (at this point unnamed) is often seen in cartoon animations where Tracy will fantasise about her mother being a famous actress who lives in a large house, has a posh limo, enjoyed spending time with her and will come to collect her someday. However, many of these fantasies are then followed up with a live action scene of how Tracy's mother actually treated her, including leaving her at home while she goes out.
Tracy's mother, now named Carly, is finally seen in person in The Movie of Me where she arrives at the DG a few days before Tracy's 13th birthday. She takes Tracy for a day out in London. On being asked why she left her behind, Carly tells Tracy that she had her when she was a teenager and could not cope and so was forced to give her up. Later, Tracy has a dream where we see Jennny and Mike took Tracy into care. Carly returns to the Dumping Ground the following day to take Tracy out again, but leaves believing Elaine was criticising her for being a bad parent (in reality she only wanted to know where they were going). Tracy follows her mum to Hopeston where she learns her mum is a stunt actress. Tracy also learns that her mother did not return because it was her birthday and it gets worse, she does not even know when Tracy's birthday is! She eventually allows Cam to foster Tracy.
In Tracy Beaker Returns, Tracy's mother is often mentioned to have wanted to have visited Tracy at the Dumping Ground, but kept falling through with her promises and Tracy also claims to have never seen her. Tracy's mother makes one last appearance in a cartoon animation in the season 2 finale where she is on a boat with Cam and Tracy and a large wave sloshes over all of them.
Carly in the books
Carly is mentioned and admired in the first book, but never turns up. Tracy had a doll named Bluebell and a picture that came from her. In the second book she turns up right after Cam and Tracy talked about her and Tracy admitted, that the whole story about her mum being famous was nonsense. At first she complained about how awful Cam is and how she doesn't look after Tracy properly. Tracy noticed that while Carly was an actress, she was neither famous nor in Hollywood. She first gave Tracy gifts and was nice to her. The second time she left her at home alone and Tracy got scared. So Tracy ran away from her and ended up living with Cam, her foster mother.