She is most likely to be a member of the Gen Xers.
Generation X includes people born between the early 1960s and 1980s. It is a generation following baby boomers and preceding millennials. She is not a baby boomer because they are not technologically savvy (at their time, there wasn't a whole lot of technology), and she's not a millennial because she was very young to vividly remember the Oklahoma City bombings (1995).