I don't know if this interests you, but if you go to
http://books.google.comand search for "Skating" in the 1800-1920 era,
https://www.google.com/search?q=skating&source=lnt&tbs=cdr%3A1%2Ccd_min%3A1800%2Ccd_max%3A1920&tbm=bksyou will find a bunch of even older figures and group skating elements (some quite elaborate and difficult) that didn't make it into later eras, as other moves were emphasized.
The School Figures era that some people have returned to, and was included in your time period, was partly a simplified version of those early elaborate figures, though competitive school figures sometimes involved some of the more elaborate things like tracing your name on the ice.
The equipment has changed a lot too.
I read a book by Robert Ogilvie from around 1968
https://www.amazon.com/Basic-Skating-Skills-Robert-Ogilvie/dp/0397005199which showed somewhat different skating styles than are used today. For example, instead of the modern stroking pattern in which you stroke in alternate direction arcs, he advocated turning the body in such a way as to follow a straight line more closely. He also wrote other skating books, including
Competitive Figure Skating: a Parent's Guide
and the early manual for the USFSA LTS classes.
I don't know if you happen to live near a large library, that has a collection of old books, like the Library Of Congress in Washington, DC, or that has inter-library loan privileges with a library that does, but you may be able to find old books on figure skating, including USFSA and ISU rulebooks, that are helpful.
Every once in a while, someone sells off their old VHS videotapes of skating competitions. A used record store often has those. Unfortunately, VHS dates from 1976, so I guess you probably won't find older competitions, except when someone transferred them from an even older format, like film. In fact, maybe you can find transferred archives of high profile competitions. E.g.,
https://www.huntleyarchives.com/results.asp?searchtxtkeys=SkatingYou could also just look up the names of famous skaters from your chosen era on Youtube, e.g. "peggy flemming"
https://www.youtube.com/results?search_query=%22peggie+fleming%22and perhaps at a general search engine. For name of some prominent skaters, try
https://en.wikipedia.org/wiki/List_of_Olympic_medalists_in_figure_skatingand click on each of the "details". I'm sure there are other lists of individual Olympic and ISU event participants if you look hard enough.
There are also a bunch of recently banned moves, like back somersaults, head bangers (a coach told me she mostly trusted her partner - but she also learned to feel when he lost control), laying down on the ice, etc. I found a link with those, as well as banned lifts and other stuff
https://www.youtube.com/watch?v=qKI1rixJwI4See also
https://www.youtube.com/results?search_query=banned+figure+skating+movesfor more banned and unusual moves in the same vein.
Have fun!