More data about your grand mother is needed: Name, approx. date born, where did her parents live, etc.
As a general rule, Births, Deaths and Marriage were not required by the US Federal Government until 1909, some states started at earlier dates, but at lower enforcement. There were still births, deaths and marriages after 1909 which were not recorded, most states started cataloging "Delate Birth Certificates" when Social Security was enacted which required proof of age. Otherwise, some churches record births, deaths & marriages, which can be found in those records.