My book of pre 1855 death records for Lesmahagow, has the following:
Mrs Boe, Bogside, 9 May 1838 age 89
Janet Boe, Abbey Green, May 1816 age 21
Margret Boe, Abbeygreen, 18 October 1824 age 6
William Boe, September 1818 age 70.
The 1821 census that survives has a few Boe in it:
Abbey Green, John Tennant and M Boe with 1 male and 2 females in the household
Netherburn, John Gray and Janet Boe with 6 males and 4 females ...
Parknow, Mrs Boe lives alone
Rottenrow, James Boe and Catherine Campbell, 2 males and 3 females....
I think that's all I can find on the Boe name.
