1888 Liberty Quarter Eagle Possible Proof?

Figured I would repost this question with a couple pics. I have an 1888 liberty quarter eagle and while trying to figure the grade I noticed that every business strike I can find online has a clear star with no doubling, and on every single proof I've seen online I've been able to find signs of doubling like it was struck twice. My question is, does anyone know how many times the business strikes are struck and if it was just once? And if the proofs were struck twice, I would assume the one I have is a proof (may not be but trying to narrow this down)? I put my scope and collection away yesterday but can't stop thinking about it. I've included 2 pics to show what I am talking about, not of my coin but the anomalies with the stars only showing to be doubled on the proofs. Does anyone know enough about these to shed shed some light on this? The close up is of the doubling I only see on proof coins, and I showed a pic I found online of the coin I have for refference which I have not been able to find any doubling on business strikes. I'm wondering if mine is a proof as it is sometimes hard to tell with these old gold coins and this may supply an answer. Thanks as always!