Hello and welcome.  This is a woman's fake fur black hat. I'm not an expert so I'll give you as many details as I can. 

The hat appears to be hand made. There is a little tag in the elastic area but I can not find a company name on the hat. 
This is fake fur
The elastic seems to be in good condition. 
It measures about 8 inches across. 

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If you have any questions please ask.