An RN that works with newborns is referred to as a Neonatal Nurse and they are employed in the NICU (Newborn/Neonatal Intensive Care Unit). Those RN's work with ill or premature infants.
There is not a nurse that works exclusively with healthy newborns. She will also be taking care of their mom in the Postpartum or Mother/Baby Unit if the hospital is an LDR (Labor/Delivery/Recovery) unit or she will simply perform care for the "couplet" if the unit is an LDRP (where you stay in the same room from admission to discharge). The trend for the past 20 years has been "rooming in", which means that the healthy newborn stays with mom in their room together. What you may encounter is a "holding nursery", where normal newborns go when mom wants to shower or sleep. In my unit (and about all the others I know of), Patient Care Techs "staff" that nursery. The mom's RN is responsible for the baby's primary assessment when she brings the baby to the nursery so mom can rest, but it's the techs that get vitals, weight, routine labs (metabolic and bilirubin screens), feed "bottle babies" and comfort them until they go back to their mom.
To be a Maternal/Newborn RN or to work in the NICU as a Neonatal Nurse, you simply need licensure as an RN. To get that, you must complete a program from an accredited school of nursing...which you can attend for 2 1/2 years and earn an Associate Degree or for 4 years and earn a Bachelor of Science in Nursing. Either will allow you to take the NCLEX and become a Registered Nurse. Here is the link to find the accredited schools of nursing in your state (you mentioned Indiana, so let me tell you that MedTech and Brown Mackie are NOT accredited!! http://www.nlnac.org/Forms/directory_search.htm
Here are is professional organization that you requested::http://www.awhonn.org/awhonn/index.do;jsessionid=29EA3980A85F7BAB622A59AFC9193F3F
The certification Ashley mentioned is simply Neonatal Resuscitation Program...all RN's that attend deliveries as the "baby nurse" must be certified. Here's that link: http://www.aap.org/nrp/nrpmain.html
I would highly encourage you to seek a Patient Care Tech position in your local/regional hospital in the OB unit. You can usually work part time while taking prerequisites, transition into a paid student nurse position once you have a semester of clinicals, and then you can work as a new grad/new RN in Postpartum if you can't get on as a new grad at one of the children's hospitals.
As far as salary.....Indiana is pretty similar with Ohio and starting pay for new RN's is around $23-25 an hour, plus shift differential.