I have a female Cockatrice named Run From Me. It says she offers breeding, but I didn't put her up and she's not appearing under the Breeding Offers, so I can't take her down. I can't explore with her or anything.

I've also seen this with another pet, a Unicorn belonging to someone else. I couldn't find him under Breeding Offers, but I can't send a private offer either.

Run From Me

If you sent a breeding offer to someone with that pet, it will be in "Offers breeding" state till the person who received request denies or accepts it (at least from my expreience)

Okay, that makes some sense. I just checked my sent messages, I thought the request would have been accepted or denied by now...thanks!