When vending, I got a . Look in the inventory and start feeding my Gourmand and the tea cup is listed as food, but has no option to feed to the pet. Is this supposed to be a food item or not? >> (Honestly, I would say not, but as I said, it IS categorized as a food)

when you say it's categorized as a food, what do you mean? As far as I can tell, it's not supposed to be able to be fed to pets. It's not listed on SubetaLodge as being edible :)
[edit] OH! You mean the inventory categories. That might be because it comes from Get Mugged? I'm not sure, that's an interesting question. But no, it's not food, so it must be in the wrong category for the inventory. Haha wow, that took me forever to figure out - I don't use those XD
Well I just tested it with another non-edible item from Get Mugged, and that was in the 'Special' category.