Complex sentence: Following their marriage and until their divorce in 1989, she was credited as Meredith Baxter-Birney, under which name she became widely known several years later on "Family".
Split into simpler sentences: Following their marriage and until their divorce in 1989, she was credited as Meredith Baxter-Birney. As Baxter-Birney, she became widely known several years later on "Family".