Julian,
Thanks for your response. I am all too familiar with copying/pasting into Adobe Illustrator, in which I can move around anything I want in seconds. I just wanted to make sure I wasn't missing a GraphBuilder option (and I am anti-Adobe, despite using their products daily)! Funny enough, I had to stop using my JMP16Beta (in which, not that you mention, I DO recall being able to drag things around more easily) because I am still running Mojave (and I think the last JMP16 beta release migrated to Catalina and above), so maybe it's time to just upgrade my OS.
BTW, after my post, I played around with the x and y axes (using the "hand" icon), and GraphBuilder will eventually "figure out" the best orientation for the labels to where they don't get cut off; it just takes tinkering (and I am notoriously impatient). As I told Xann and others, my goal is to become so proficient with GraphBuilder that I can do 100% of my figure making in JMP (no Adobe or PPT), but maybe this is unrealistic.....
Anderson B. Mayfield