Hmm... is she married? If I were you, I would be tempted to find pictures she posted of her husband and ask her when I could drop by to have my share of him.
Seriously, though: I think that woman is just being a special snowflake. There are literally millions of pictures of food on the internet. If she wanted to have a bite out of everything people post, she would not live to see the dessert.
Plus even if you had actually brought the food somewhere, you wouldn't have to share it. Many people bring lunch to work or picnic at a park or somewhere without meaning they are now required to feed everyone who happens to pass by.
(I hope my tone doesn't sound too sharp, I'm still kind of unexperienced with polite English.)