Fagus species?- New Jersey, USA


Tree for ID : New Jersey : 30SEP19 : AK-18 : 11 posts by 5 authors. Attachments (1)
Tree seen in a cultivated garden in New Jersey during my visit in June,17.
Having brown fruits.
Unfortunately, I have only one picture.

I think it is anogeissus
For me it is NOT
Yes, doesn't look like Anogeissus to me as well.
Could be Fagus Species?

Your suggested id looks close to me as well.
As per the link … has given.
not a beech. fruit is something else. what is it? I don't know. too varied 
It was at Somerset County Park in New Jersey.