Dinosaurs rubbed butts

I took myself on a refresher course in the birds and bees, and found this from Real Clear Science:

2) No copulatory organs

As with most bird species, roosters and hens don't have external genitalia. Instead both partners procreate using an external orifice called a cloaca. When the cloacae are touched together, sperm is transferred into the female reproductive tract. Since no penetration is involved, the act is simply called a "cloacal kiss."

OK, dinosaurs are birds, from Wiki:

A discovery of features in a Tyrannosaurus rex skeleton provided more evidence that dinosaurs and birds evolved from a common ancestor and, for the first time, allowed paleontologists to establish the sex of a dinosaur. When laying eggs, female birds grow a special type of bone between the hard outer bone and the marrow of their limbs. This medullary bone, which is rich in calcium, is used to make eggshells. The presence of endosteally derived bone tissues lining the interior marrow cavities of portions of the Tyrannosaurus rex specimen's hind limb suggested that T. rex used similar reproductive strategies, and revealed the specimen to be female. 

I can see why the stork survived.