Robert Hugh Winram/Windram

I'm trying to confirm the parents of Robert Hugh Winram who, according to a family bible entry, was born in Edinburgh 15 Dec 1814, emigrated to the USA in 1834 and appears in the 1840 Ohio census as Windram. British Isles VRI show a Robert Windram born 12 Sep 1815 and christened 9 Oct 1815 (per VRI & OPR) at Chirnside, Berwick, the son of James Windram and Janet Lidgate. [The only other proximate entry is for a Robert Hume Winram, christened 28 Feb 1813 who emigrated to Canada] Given the apparent birth/christeneing date discrepancies, are these the parents of Robert Hugh or did he simply never appear in the OPR? Any help would be much appreciated.