The answer is Absolutely! Our Astrology Charts describe our personalities and the internal forces that make us - us! Knowing what makes your baby "tick" so to speak can help any parent.
It also helps to know your own chart because some of us blend a lot easier with different signs than others. This can help us work with each of our children - because as we all know - everyone is different.
If I recall - you're an Aries and this sign doesn't have a lot of patience which is something we all need when it comes to babies. Patience is not an easy trait to come by - but I probably have more than most given all of my Pisces planets! However, I must admit even the most patient parent slips every once and again.
You'd really need to explore all of the signs that are working inside of your daughter - including her Rising Sign and Moon Sign (her emotional side) in order to come up with some solutions or way s to make parenting her a little easier :-)
I have two children myself and I see their charts in play more and more the older they get! I actually just wrote about my little Scorpio on my blog and how I'm using astrology personally with him: