If the proverb, "Spare the rod and spoil the child" is in that play, then he quoted the Bible, because that is where it comes from:
Proverbs 13:24;
He who spares his rod hates his son, But he who loves him disciplines him promptly.
Proverbs 22:15;
Foolishness is bound up in the heart of a child; The rod of correction will drive it far from him.
Proverbs 23:13;
Do not withhold correction from a child, For if you beat him with a rod, he will not die.
Proverbs 23:14;
You shall beat him with a rod, And deliver his soul from hell.
And in not one of the Bibical quotes are the identical words.
He was making fun of Puritans in that play.
It seems to me that if a person wants to say "the Bible says.." they should quote the Bible.
Do you have a problem with that?