I am assuming you already know that David Ramsay Acheson (b.1797 Marietta OH--1854 Muscatine IA)is the son of John (1774-4/10/1835)and grandson of Humphrey (1740-12/1/1814).
David's parents, John and Sarah, married in Washington Co, PA, lived in Marietta from 1797-1820. Then the family (except for David R )moved to Bloomfield, OH .David R married Elizabeth Law(1806-1865) in 1822 (in Marietta OH?) and moved by covered wagon to Muscatine in 1853.
Their children: 1.Sarah(8/29/1823--9/1873 Dennison KS) 2.Mary (1825- 3.John L.(1827- 4. James Ramsey (1829 Marietta OH 5. Ann Eliza(1832 6. William Glover (1835-1854) 7. Esther Jane(1837-1857) 8. Martha (1840-1842) 9.David Anderson(1843- 10. Robert Johnson (1845-1879) 11. Samuel Wallas(1848- 12. Margaret Ann (1852-1854)
Note the death dates of David and his two children William and Margaret are all 1854--according to the family account Muscatine suffered a cholera epidemic that year.That's all the information I have at the moment. This comes from a 1953 Atchison family tree prepared for the DAR library by Nellie Wilkin Cooke. It's not really "documentation", but may point you in the right direction and it's been accurate as far as my branch of the family is concerned (I'm a descendent of David R.'s sister Martha)