She lived 'vicariously' through her children.
a 'vicarious' experience
a 'vicarious' thrill
(..) ...to suggest the character of this dramatis persona. Voil'! In view, a humble vaudevillian veteran... ...cast vicariously as both victim and villain by the vicissitudes of fate. This visage, no mere veneer of vanity... ...is a vestige of the vox populi, now vacant, vanished. (..)2005 V for Vendetta
(..) And at the risk of advising an advice columnist... ...I say you bid on a bachelor or two tomorrow. That way I can live vicariously through you. Oh, Elise, you brazen hussy! Oh, my God! - What, what is it? - Nothing. Hold that thought. What thought? (..)2003 TvShow: Charmed Title: Oh My Goddess!: Part 1 Season: 5 Episode 22
(..) You left your chair! Okay, just one more time. I have been telling you this story for an hour. It doesn't get dirty. I can't help it. I'm obsessed. I'm totally living vicariously through you. Why? You got kissed last weekend. Remember? You told me. That guy your parents set you up with. (..)2000 TvShow: Gilmore Girls Title: Kiss and Tell Season: 1 Episode 7