Nice bottle. Oakely was a pretty prolific bottler in Newburgh, NY just north of West Point on the Hudson River. I have some information that suggests Oakley started in the 1860s but that is sketchy at best. Attached are a couple more examples of his bottles from the 1880s.
As an aside Newburgh is a heavily dug town even in the later, post-pontiled age part of town.
There was a glass factory in Newburgh, too, according to this plaque. Not sure if it was the source of this bottle but could be a possibility. Maybe someone has more detailed info.