Hi Elizabeth
I took a look at Bo’ness and Carriden burials. Here’s what I came up with:
Bo’ness Graveyard Inscriptions pre-1855 – Church Wynd Lower Burial Ground:
Andrew MILNE late merchant died 17/10/1817 aged 87, wife Mary LEARMONTH died 27/11/1832 aged 72, son James died 4/1/1825 aged 24, plus 4 infants.
Bo’ness Parish Burials pre-1855 – 12 Milne’s listed. Also one Miln – all lived in Bo’ness
John MILN died 10/11/1769, son of Alexander MILN, Workman
MILNE (no forename) died 16/3/1811 aged 86, widow
Andrew MILNE died 23/10/1817 aged 71
Anna MILNE died 4/9/1783, dau of Andrew MILNE, Merchant
James MILNE died 29/1/1825
Janet MILNE died 1/7/1770, dau of Andrew MILNE, Mariner
Jean MILNE died 3/1/1770, dau of David MILNE, Excise Officer
Johanna MILNE died 13/12/1781, dau of David MILNE, Gauger
Margaret MILNE died 26/10/1775, “ “ “ “ “
John Morton MILNE died 20/9/1824 aged 1
Margaret MILNE died 27/3/1812 aged 79
Margaret MILNE died 21/12/1833 aged 5
Wm. MILNE died 8/11/1817 aged 25
Only other MILNE I found was at Livingston Burial Ground
Henry MILNE died 1872 aged 72 and wife Mary RUSSELL died 1835 aged 35
No sign of your Alexander though there may be relations here.
I checked out Linlithgow too but no sign there either. He could have been buried in Grangemouth or Falkirk.
Good luck with your searching
Best wishes
Diana