The county has this trail shown on their parcel viewer.  Also, you changed it from a footway, which I agree it most likely isn't, to a track, but then said motor vehicles are not allowed. That seems to be a contradiction. I would probably tag this as highway=path, which in the US we call a trail. OSM was started in England so we use their road classification system and British English for tags.
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            Published using OSMCha: https://osmcha.org/changesets/146003922
            