But this is a 7 pointed leaf, and there is no "center" from which they
emerge. Looks more like a maple leaf with 7 points. But without the jaggedness
of a maple leaf.

Where are you located? If you are in he Pacific Northwest, you may have vine
maple, Acer circinatum. It is a very desirable & interesting little tree.
Iris,
Central NY, Zone 5a, Sunset Zone 40
"If we see light at the end of the tunnel, It's the light of the oncoming
train."
Robert Lowell (1917-1977)