The Boye chart I have lists the American #7 but not the #9. It does list an "American Union" and "New American" that take New Home needles/shuttles, so I'd guess those two are badged New Home machines, and no relation to yours.
Can you take a picture of the underside? Often they may look similar on the top side to help fool the customers, but the working parts are different as they were patented. Easiest way to see working parts it to look underneath.
I've not found any pictures of a #9 so far, I know these are very rare machines, so hopefully they either take the same needle/shuttle as one of the common ones, or you've got some with the machine to use.