The Quinn-Beth Relationship is the mother-daughter relationship between Quinn Fabray and her daughter Beth Corcoran, known as Queth or Quinneth. Beth's first interaction with Quinn occurred in the episode Journey, the episode that she was born. In the same episode, Quinn gave Beth up for adoption to Shelby Corcoran. In Season Three, Quinn wants to gain full custody of Beth. In Pot o' Gold, Quinn and Beth meet for the first time since Beth's birth.
Quinn finds out that she is pregnant with Beth.
After New Directions finish their performance, Quinn's water breaks. She is rushed to hospital where she later gives birth to Beth. Quinn and Puck give Beth up for adoption, and she is adopted by Shelby.
Quinn tries to join Shelby's choir to get closer to her, and overall, get her closer to Beth. After Puck tells Shelby of Quinn's plan to gain custody of Beth, Shelby banned Quinn from being part of Beth's life.
Rachel tells Quinn that if she takes Beth away from Shelby then she is ruining Beth's life. This makes Quinn realize that she doesn't need to get Beth back and she just wants Beth to be happy. Quinn realizes that she shouldn't tell on Shelby, and so she doesn't, thanking Rachel towards the end of the episode.
There is a picture of Beth and Puck in Quinn's Locker seen while Quinn sings Never Can Say Goodbye. There is also a picture of Quinn holding Beth after giving birth to her. Puck is standing by her side.