There is nothing abnormal about your dd. Seems like she was having a very rough day. Just think of how you feel when you are tired and all you want to do is sleep, but for one reason or another you aren't able to. Teething is majorly hard for almost every baby, and if she can't sleep, that just compounds the problem. My dd was a very cranky baby for most of her first year, and I could hardly take her anywhere. She had terrible nap problems, so she stayed overtired. My family (mostly MIL) kept trying to blame it on feeding problems, and others had there 2 cents to share about what they thought was wrong. It made me mad, too, and I always doubted myself. Truth is that babies are hard creatures to understand, especially our first, but don't let others get you down. Just do your best to help her stay well rested, even if you have to miss social events every now and then. I plan everything around my dd's nap schedule, but that's just me. Some people are more "go with the flow," but the environment I created for my dd is the only thing she knows, and that for her means a nap in her crib at certain times of the day.
HTH. Let us know how things go. HUGS!!!!