Quagmire had had thousands of one night stands, and as a result, he had a lot of unfathered children, and he made no attempt to reach out to them.
However, one day that changed as you, a small baby, appeared at his door with a paternity test proving you were his daughter. Your mother wasn't around as she had left you on Glenn's doorsteps and disappeared.
Quagmire was surprised and later that day his friends came round and were surprised to see you.
"So... you have a daughter?" Joe said as he sat in his wheelchair and looked to you in Glenn's arms.
"Yep." Quagmire said as he held in his arms, hesitant about all of this.
"And her mother just left?" Cleveland asked as he was surprised about the fact you had just been left.
"Are you going to keep her?" Peter asked.
"I don't know, man. She's a baby and my daughter..." Glenn murmured as he gently rocked you in his arms.