My earliest Baillie is John Baillie, b. circa 1740, m. Mary Lowden 6 March 1762 in Bothwell. Their son William Baillie was born in New Monkland circa 1782 but I can't find his birth anywhere, nor can I find any more information on his parents or presumed siblings.
William Baillie married Margaret Downs in 1812 in New Monkland. Margaret was born 16 August 1794, to Archibald Downs and Jean Thomson, who were married 1791 in New Monkland.
Archibald Downs was born circa 1766 Lanarkshire (again, no birth found) and Jean Thomson was born in New Monkland to John Thomson and Mary Inglis in 1769.
Archibald Downs and Jean Thomson had the following family:
Margaret, b. 1794, m. William Baillie
Andrew, b. 1796, m. Catherine Crawford?
Archibald, b. 1798
John, b. 1799, m. Janet Henry
Alexander, b. 1802, m. Christian Anderson
James, b. 1804, m. Christina Shanks
William Baillie and Margaret Downs had the following family, all in Shotts except for Mary, who was born in New Monkland:
Mary, b. 1813, m. Robert Wark in 1832, d. 1865
Margaret, b. 1815, d. 1831
Bethea, b. 1817, m. John Carswell in 1838, d. 1851
Janet, b. 1819, m. John Wark in 1838, d. 1886
Helen, b. 1821, d. aft 1861
William, b. 1823, m. Janet Gray in 1850, d. 1880
John, b. 1826, m. Jean Gagie iin 1863, d. aft 1901
Jane, b. 1828, m. John Munn in 1856, d. 1913
Agnes, b. 1830, m. James Shaw in 1855, d. aft 1861
Archibald Downs, b. 1833, m. Jane Giffen in 1860, d. 1883
James, b. 1835, d. aft 1851
Any additional information would be appreciated.