So, the general list seems to be . . .

Adam soiled the garden (does this count as constipated?)

Cain wasn't Abel

Noah for 40 days passed only water

Balaam couldn't move his ass (sounds more like he's stuck than constipated)

Moses ran all the way up the hill and had to take two tablets (this was the version the camp kids did)

Solomon sat on the throne for 40 years

Sampson brought the house down (again, constipated?)

Barruch's ass was tied to a tree (does that make one constipated or just have to hold it?)

Pharoah wouldn't let them go (wouldn't or couldn't?)

Joshua blew the walls down (isn't this the end of the constipation?)

David threw a stone (ouch.)

Peter was like a rock

Titus' name speaks for itself

Jesus cleared the temple (is this constipation or excessive gas?)

Did I miss any?