This spelling looks like a strong candidate as a true variant of English Bowes the way it overlaps Bowes concentrations. A detailed analysis of parish records and DNA studies will help clarify this.
UK by County Per 100,000
Northern England by County Per 100,000
Northern England by Poor Law Union Per 100,000
Scotland by County Per 100,000
These maps were created using Archer Software's The British 19th Century Surname Atlas CD.