Yes although she doesn't stay away long. In Big Man on Hippocampus after Peter brings home Tiffany Theissen to have sex with Lois leaves and goes to Glenn's house. Right before they make love Peter regains his memories and rushes over to Glenn's house and gets Lois back.
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Peter Griffin's wife's name is Lois Griffin.
The name of Peter and Lois Griffin's daughter is Meg and she is the oldest child. Her brothers are Chris and Stewie.
Naturally this is all speculation since some of the relatives show are most likely fictitious. Peter Griffin << Thelma Griffin + Mickey McFinnigan Thelma Griffin << Josiah Griffin + Peter's Grandmother Josiah Grffin << Osias Griffin + Peter's Great Grandmother Osias Griffin << Ulysses S. Griffin + Peter's Great Great Grandmother Ulysses S. Griffin << Thomas Griffin + Peter's G. G. G. Grandmother Thomas Griffin << Nate Griffin's Son + Peter's G. G. G. G. Grandmother Nate Griffin's Son << Nate Griffin + Lois Laura Bush Cheney Pewterschmidt
To the second generation? You mean from the very start of their lineage or from the Griffin family we know from Family Guy? Peter & Lois Griffin then Meg, Chris & Stewie Griffin and the next generation.
Actually, in one episode of Family Guy she said that she was on Crystal Methamphetamine but tried to change the subject on Peter.