Hi there!

My current pet just had a breeding done on the 'Breeding Offers' board! Is there any link or button I can click to find out who it was? 

Also, I could be wrong, but I think I had the fee deducted from my money-? I was under the impression that was the amount someone else paid to breed with him.

Check under "Manor" and "Reports". I haven't put my pets up for breeding but your Reports should tell you what your money was spent on and it's your best bet to see what happened with your Breeding Offer.