Calling all cursive readers!
Maybe we can confirm whether Murdoch was his father from Murdoch's estate file?
"North Carolina Estate Files, 1663-1979," database with images, FamilySearch: indexed 12 Mar 2018, Murdoch Bane, 1793; citing Cumberland, North Carolina, United States, State Archives, Raleigh; FHL microfilm 1,853,959.
Then, on Hugh's probable estate file marked on his profile, maybe something can confirm his family constellation (source is on the profile).
Lastly, a Scotland's People baptismal record match is compelling, but it places his father as Robert (source is on the profile).
Thanks for any analysis of these records that you might provide!