Not that I have formation or experience in the field but my understanding was that only antibodies were passed from the mother to the children, not lymphocytes

Not that I have formation or experience in the field but my understanding was that only antibodies were passed from the mother to the children, not lymphocytes or immunity memory. But now that I google it, there is a rather new body of research about the genetic and epigenetic component of immunity. Like https://pubmed.ncbi.nlm.nih.gov/27102489/ https://pubmed.ncbi.nlm.nih.gov/27102489/ for example. What an exciting time to be alive.