I'm curious as a future parent: How old was she, and how do you think she would have responded with an explaination of what was going on: She's jealous because she sees the baby getting more attention than she is, and explaining when she was a baby, she got just as much attention and that you love them both equally.
She was about 2 and a half when they were born. To be more specific, we actually had twins. And she only did it to one of them. Explaining things are what we tried first - its always our first goto - explain, redirect, etc.
When we tried to explain things, she would mostly just ignore our words and change the subject. There was even a period of time where even mentioning "baby" would cause her to yell "NO BABY!".
BTW, you might have heard of the "terrible twos". But the "threenager" stage was much worse for us.
Some of the defiance is kinda funny, depending upon your sense of humor. Like when my wife said "I hope when you get older you call mommy to tell her how much you love her", and she said "I'm going to call you to tell you how much I don't love you."
It's a lot better now, but she has always been pretty persistent and strong willed. At the end of the day, you get what you get. We have some friends with the most amazingly behaved first child that didn't care for our kid's behavior and some of the stuff we just let her do. Then their second kid was more like ours and after that they had more sympathy.