I'd have to see a photo of the tree? But From what I know, Beech doesn't occur in California naturally, so it could be anything. As for beech in America and Canada: Fagus Grandifolia, only on the east coast though.
As for the ash: That is something you got to be "in the know" about. There is ash that looks the same, but you got to sand it beyond the lacker. There is a trend over here, where cheap budget store stuff gets lackered in weird patterns. Its more or less a dip process. You get al sorts of weird looking grain, but sand it down and you see whats underneath. Thats why I said it could be ash. One of the reasons I don't like lackered handles. And mind you: Axes I'm talking about are actually from Germany, with DIN markings included.
But it is most likely beech. What you see is a small part of subspecies of beech. Most likely not from eastern europe, but from the region of Italy? Even over here (the Netherlands) the species of beech are different compaired to around there. But still both are Fagus Sylvatica.
As for different species of beech in the European Beech (Fagus Sylvatica) catagory:
Fagus sylvatica purpurea
Fagus sylvatica Heterophylla
Fagus sylvatica Tortuosa
Fagus sylvatica Pendula
Fagus sylvatica 'Dawyck'
Fagus sylvatica 'Zlatia'
And thats just a slight selection. So you saying that it doesn't look like beech you've seen is like sayimg: All the coffee tasted the same. There are a shit ton of subspecies out and about. All have different properties. The same Fagus sylvatica from the more nothern parts of europe tend to be stronger: about 710KG/M3. The same Fagus Sylvatica form the Mediteranian/Balkan: 670KG/M3. Same species, different subspecies. Thats all I'm saying....