I have the same issue, and have since I joined. I think it's a site end issue.
To send eggs to another user, you just select the eggs you want to send in your hatchery (via the check boxes under them) and then use the "Transfer Selected" button at the bottom of the page. That'll bring up a box to put the username in.
If you want to read the rest of the text, you can look up "*Species name* Creatu Egg" in the item database, or look up the species in the Pet Directory, since the blurbs there are the same as on the egg page.
I'm not sure why it's like that, but those are the work arounds I know