LDS Famaily search gives us
Robert Russell b 22 Dec 1745 Airdrytown, New Monkland, Lanarkshire, Scottland
Parents William and Mary Calder Russell
Spouse, Janet Jack married Jan 1776
There re several other Russells shown with the same search,
Russell, Born New Monktland between 1740 and 1750
"Ancestral File v4.19," database, FamilySearch (http://familysearch.org/pal:/MM9.2.1/M485-T6J : accessed 5 September 2012), entry for Robert RUSSELL.
Familysearch.org is a free function, easy to use, once you understand their system.