You are right about the name. Generous, patient guy who spent a couple sessions trying to help me understand the break and a few basics of 3c. Always wanted to learn but was never around a 3c table until Nick put one in fairly late.
"Maker spaces" or "Creation Stations" in some jargon are new to me, too, and i have been grudging about learning the modern methods, very little personal progress because the machines require computers, and seem small compared to my shop.
NY state has an initiative, a good one, to get cnc tools and some basic machines into shops in libraries, so kids (& adults) can be exposed to them and use them for projects. Most have 3D printers, at least a small cnc router, a laser cutter, and then from there it kind of seems to depend on the initiative of the guy or gal they put in charge. Our Chemung Co main library has a very ambitious director, and they have an X-carve 4' x 4' which is a toy compared to an industrial router, however it is apparently remarkably capable (full 3D capable) and could be taught to do cue work. Either with a manual indexer, or if a 4th axis could be connived.
I used to donate odds and ends of 1/8" & 1/4" plywood so the kids would not have to pay for it to cut up on the laser. Never used the machines because the computer part was too intimidating. But the director is a friend and he got me to cut some veneer inlays for a pool table restoration there. He "made" me sit at the terminal and over 3 sessions got me to the final result. But to be honest he more or less did the work.
Here's my description of using the library: https://forums.azbilliards.com/threads/library-resource-for-pool-table-repair.519038/
Today, wife & I were up in Auburn and walked past the library so we went in to look at the woodwork and architecture. The director gave us a tour and showed us they had just set up a room in the back, starting their maker space when the plague hit. So she is frustrated about getting it going.
All that said, looking online tonight, I can't find where Broome County has picked up any of this beyond sewing machines. Kind of disappointing, given the industry that was in Binghamton. Might call & ask. Or maybe it would have no application for you anyway. The tools and capabilities of the various libraries seems to depend on the awareness and initiative of the individual librarians. In looking up various counties, maybe for a backwater, Chemung Co is a little ahead of the curve.
My place is crowded and cluttered but if you ever want to meet, send a note. Just outside of Elmira.