Marco Brambilla, the director, mentions in the DVD audio commentary:
... a number of small scenes and a subplot involving Stallone’s character meeting his daughter, now considerably aged since his freezing, that were trimmed or entirely deleted, as well as a scene initially shot with Lori Petty playing Stallone’s female sidekick and love interest before she was replaced by Sandra Bullock.
The IMDb Trivia page also mentions this:
According to the commentary found on the RC1 DVD, there were some scenes deleted from the movie including a subplot involving Spartan's daughter and the murder of Zachary Lamb by Phoenix.
According to this:
the woman on the far right is John's daughter.