A.W. Co. Waltham Pocket Watch

Silver A.W. Co Waltham pocket watch- large size. I don't know much about watches or who exactly owned this. Possible my great, great grandfather. It's in beautiful shape- no dings or scatches. It's been taken care of. The inner workings are increadible beautiful. I haven't polished up the silver (need advice on what to use) or tried to see if it's in working order ( I don't have the key). The face is nice a bright with a couple of minor line cracks. The back is engraved with what looks to be a stylized diamond ring, scrolls and flowers. Makes me think it was a wedding present. There are no intitials in the ingraving.