Hi Dave, I would like to tell you two things about your two plums (I hope to coincide with the opinion of the rest of the colleagues).
We start with the Satsuma variety.
Look at these are the leaves of my Satsuma plums (I have two and they are both legitimate).
And regarding the Emerald Beaut plum, I see the fruit excessively round, and it should have a heart shape like this
Photograph taken from the internet
Emerald Beaut photograph of my harvest
I tell you this, because there was an error in a nursery, and they sold the variety of pluot Emerald Drop for the variety of plum Emerald Beaut (I was one of those affected and had to re-graft this variety)
Look at this thread
And I think you can be another of those affected.
Regards
Jose