You poor thing! You really should be getting sympathetic "we've all been there" looks from other mothers.
I read in a baby book once, that you aren't really a fully-fledged mother until you have experienced a toddler doing an over-the-top public tantrum! It always made me giggle and feel better about being humiliated and judged in public!!
Don't worry about the old women, I am sure there were lots of people feeling sorry for you Hope your day improves