This sounds somewhat like the movie ExistenZ, which did have a tie-in novel published in 1999. I do not remember the father-daughter aspect in the movie, but have not read the book.
You are in a society where game designers are superstars and players can organically enter their favorite games. . . . A society where no one is more desired than Allegra Geller, the hip gaming goddess whose latest system, eXistenZ, takes a quantum leap beyond anything ever imagined--tapping so deeply into its users' fears and desires that it blurs the boundaries of reality.
Fleeing an assassination attempt from Anti-eXistenZialists determined to destroy the game and its creator, Allegra finds an ally in Ted Pikul, a young executive turned novice security guard sworn to protect her. Seeking shelter within her creation, Allegra persuades Ted to play the game, and the fugitives find themselves in a phantasmagoric world where existence ends and eXistenZ begins, a fantastic place where nothing is as it seems and the villains are all too real--and all too deadly.
Second theory after a bit of searching would be the Otherland tetralogy by Tad Willams (1996-2001), which sounds as though it would support various subplots of dropping into quasi-cyber-realities. (And now I see it's already been nominated.)
The story is set on Earth near the end of the 21st century, probably between 2082 and 2089, in a world where technology has advanced somewhat beyond the present. The most notable advancement is the widespread availability of full-immersion virtual reality installations, which allow people from all walks of life to access an online world, called simply the Net. Tad Williams weaves an intricate plot spanning four thick volumes, and creates a picture of a future society where virtual worlds are fully integrated into everyday life.