I am not sure what kinds of businesses the members here have, but for those that have baby/kid oriented businesses, the hospitals give new mommys a big bag of goodies.
You can go to your local maternity wards/hospitals and leave them your business info, coupons and freebies for the new mommys. But you have to make sure that you have a lot printed out, they do give away tons of bags.
And dont forget about pediatrician and OB offices. Babies R Us would be another great place to advertise a baby/children business.
That's a great idea. I got one of those bags of goodies when I had my son. Everyone who has a baby gets one, and in some cities, that's alot of people who will hear about your product or service.