The Alexander Lawson I have information on was born in 1710 and died in 1760 Baltimore, Maryland. They were a rich and prominent family. He had a son called Alexander born about 1740 - I do not have an exact date.
The father, Alexander, born 1710, had a father James Lawson I am guessing born sometime around 1677, Banffshire, Scotland, who was a merchant from Glasgow dealing in tobacco and other items out of Port Tobacco, Charles county, Maryland.
James Lawson, born about 1677, had two girls Agnes and Mary. Three boys Robert, James, and Alexander, born 1710, mentioned above. Robert died in Maryland unmarried. Mary Lawson, born 1732, married James Logue, both are buried in western Maryland. Agnes and the son James I have no information on. James, the son of James, is a likely candidate father for our James Lawson, born in 1775. He, the son of James, was born, I am guessing , about 1721.
We have not been able to find a connection with our James Lawson, born 1775. Although the families did know each other as found in archival records and wills in Maryland.
TMS