The first effective vaccine was developed by Edward Jenner in 1796.

https://www.cdc.gov/smallpox/history/history.html

Back in the 15th century, the word inoculate referred to grafting a bud (or another plant part) onto a separate plant in order to cultivate that new plant. It derived from the Latin verb inoculāre, meaning to graft or to implant, which itself derived from the Latin noun for eye or bud: oculus.

Over time, people started using it for just about anything implantable, literal or figurative; you could, for example, inoculate an idea into someone else’s mind.
> So when British physicians began experimenting with implanting smallpox pathogens into unafflicted patients in the 18th century, it made sense to call it “inoculation.” The process, which had long been practiced in Africa and Asia, involved transferring part of a smallpox blister into an open cut on a healthy person, so their immune system could learn how to fend off the disease without being overwhelmed by it.
> Since variola was the virus that caused smallpox, inoculation was sometimes called “variolation,” too.

Then, in the 1790s, a British doctor named Edward Jenner popularized the theory—already known among many dairy farmers—that exposure to cowpox could also immunize people against smallpox. Since the virus that caused cowpox was known as vaccinia (from vacca, the Latin word for cow), Jenner named the process of inoculating people with traces of cowpox “vaccination.”
> In other words, the word vaccine first referred only to cowpox injections that protected against smallpox.

> But as inoculation expanded to encompass diseases beyond smallpox, the words inoculation and vaccination (and their derivatives) expanded, too. By the early 20th century, people were mentioning them in reference to everything from anthrax to hay fever. Because inoculation was originally specific to transferring pathogenic matter through skin lesions—as opposed to injecting it via needle, nasal spray, etc.—it’s sometimes still used in that sense. But telling someone you got inoculated by needle wouldn’t be incorrect, by modern standards. And while vaccination is really only used to describe a process meant to protect against disease, inoculation has a slightly broader definition. You could, as Verywell Health points out, inoculate a culture with a sample of saliva just to see if certain pathogens are present.

Immunization, though often used as a synonym for vaccination or inoculation, more accurately refers to what comes after them. According to the Centers for Disease Control and Prevention (CDC), it’s the “process by which a person becomes protected against a disease through vaccination.” In short, vaccination is the procedure where you actually receive a vaccine, and immunization is the process where your immune system builds up a resistance and (hopefully) makes you immune to the disease.

https://www.mentalfloss.com/article/641671/vaccination-vs-immunization-vs-inoculation-whats-difference
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(Harvard) .. The Boston Epidemic:
For over a year, from the spring of 1721 until winter 1722, a smallpox epidemic afflicted the city of Boston. Out of a population of 11,000, over 6000 cases were reported with 850 dying from the disease. Of a series of seven epidemics in the region during the 1700s, this was the most deadly [2]. Though tragic, the 1721 epidemic led to a major milestone in the history of vaccination and smallpox eradication.
> The use of inoculation during this epidemic, and the heated debate that arose surrounding the practice, was one of the first major applications of inoculations in western society, paving the way for Edward Jenner to develop smallpox vaccination by the end of the century.

- The Disease and Early Inoculation:
Smallpox is an ancient disease caused by the Variola virus. This virus exists in two main forms: Variola major, which historically has a mortality rate of around 30%, and the less severe Variola minor with a mortality rate around 1% [3]. Variola major is predominantly transmitted either by direct or indirect contact with the respiratory droplets from an infected individual [4]. The natural pathogenesis of Variola major begins with the infection of the mucous membrane of the upper respiratory system, then invasion of the bloodstream, and eventually the skin...

https://sitn.hms.harvard.edu/flash/special-edition-on-infectious-disease/2014/the-fight-over-inoculation-during-the-1721-boston-smallpox-epidemic/

I should have dug a bit deeper before commenting and extend my apologies. On the plus side, I also learned something today too.

Most importantly though, the point of your OP is absolutely spot on.

I learned more by sorting it out as well. We're good.

Another one on vaccines and French use of the smallpox inclulation esp. after King Louis died. IF you haven't had enough, lol! History is a love.

https://www.democraticunderground.com/11661999