It really doesn’t matter how or even if the county accepted the road unless this involves an easement imposed ON your defined lot. If this is a defined roadway (as is typical in creating a subdivision), until such time the right of way is formally abandoned, it remains property not owned by you, even as a servient tenant.
When a right of way is formally abandoned, that is where ownership is given to the adjacent lot owners. Since this is an active roadway I’m pretty sure abandonment is not an issue.
So, when the surveyor drew out the survey, did your lot end st the right of way or did it show it continuing to the center of the right of way with an easement overlaid onto your land?
As to owershipmof the right of way: unless it is an easement overlaid onto your property, it is owned by the developer or whoever they transferred it to. Roadways are an odd matter regarding ownership. When creating subdivisions with platted roadways, if the plat is accepted by the state, fee title (true ownership) does not transfer to the state but would be retained by the developer, at least on paper but , it becomes a distinction without purpose. Since it is dedicated for public use it is not taxed and treated as being owned by the state for all practical purposes. Due to the dedication as a public right of way, the state has full control of the right of way as if they owned it. This is further proven by the fact such roadways are split between adjacent lots when a right of way is formally abandoned