Using the Corpus of Historical American English (http://corpus.byu.edu/coha), it appears your assumptions are correct. That corpus tool doesn't allow for the embedding of the charts it generates, but here are the numbers:
1860s - .06 times per million
1870s - .11 times per million
1880s through 1910s - not at all
1920s - .31 times per million
1930s - .61 times per million
1940s - 1.15 times per million
1950s - 3.46 times per million
1960s - 7.51 times per million
1970s - 6.42 times per million
1980s - 10.43 times per million
1990s - 10.59 times per million
2000s - 13.53 times per million
You should be able to visit the corpus yourself to do a keywords in context search (if you're interested in that). The search term there would be "and?or" (where the ? represents a single wildcard character ... this gets around the slash problem and relies on the fact that there is no English word or phrase with any character there except and/or).
