Yes, the Intestate Succession Act recognizes the inheritance rights of children born out of wedlock. Regardless of the parent's marital status, children born out of wedlock have equal rights to inherit from their parents' estates under the act. However, establishing paternity is crucial to determining the child's heir eligibility. Paternity can be found through various means, such as DNA testing, Acknowledgement by the father, or Court determination. Once paternity is legally established, the child is entitled to their share of the deceased's estate and other entitled beneficiaries.