I'll wager you at any point during Family Ties' run that more people knew who Baxter was, considering she had been a celebrity for 10 years going into that show

I'll wager you at any point during Family Ties' run that more people knew who Baxter was, considering she had been a celebrity for 10 years going into that show. Also that's not how share works. A 32.7 share in 1986 is more like 29-30 million viewers. If you're just going by ratings/buzz Lisa Bonet and Phylicia Rashad are contenders, but this is a weird definition of "famous" that is just "who's popular right now ignoring history and context". Like, Betty White exists.