I would also wonder about WHY the rat was dead........... if it was into rat poison, you definitely don't want your dogs near it. ALSO, if it was poison, make sure that it isn't anywhere that they can get into it!!!!
No lectures!!!......... you are doing what we all would do.... inquire and try to do the best thing for your Yorkies!
Hope all goes well and nothing comes from that nasty RAT!!
All the Best......
