It was part of a dialogue I read some time ago:
A. "His wife is pregnant again."
B. "Really? He's got his quiver full, hasn't he?"
A. "He has, and I tell you, he should know better."
I'm inclined to believe this is BrE. Looking up "quiver" I got the following: "a case for carrying or holding arrows" Merriam-Webster
A Google search didn't help much as there is a similar quotation from the book of psalms ("Blessed is the man whose quiver is full of them. They will not be put to shame when they contend with their opponents in court.") which fills all pages.
Edited dialogue. Added one more line for clarity.