The plot commences with the actress who works for several odd jobs and finds a "good" job as a housekeeper for a famous actor. Later on, she finds out this actor had a baby back in his days and tries to avoid the tabloids of discovering his child. In the end, she falls in love with the actor.
That reminds me of a drama called "Oh, My Lady!"
Sounds like Oh My Lady with Choi Siwon.
Thank you :) It was found Oh! My Lady.