inoculate (someone) with (something)
To vaccinate someone so that they become immune to a particular disease (named after "with"). The kids have been inoculated against measles, mumps, and rubella with the MMR vaccine.
inoculate someone with something
to use a particular substance in immunizing someone against a disease. Donna inoculated Richard and Nancy with yellow fever vaccine for their trip. She also inoculated Sam with something to prevent malaria.