I think you are confusing Ainsworth and Baumrind. Baumrind was the parenting style.
Ainsworth was a developmental psychologist perhaps best known for her Strange Situation assessment and contributions to the area of attachment theory. Based on her research, she identified three major styles of attachment that children have to their parents or caregivers.
Baumrind initially identified three different parenting styles: authoritative parenting, authoritarian parenting and permissive parenting.