hi sandy,
warm welcome again to rootschat, had no luck finding his parents on the censuses but i did find that he married mary on october 1841 in old monkland (no doubt airdrie) if you visit scotlandspeople website and punch in jane cowie born 18/8/1855 which was the magical year for birth registrations you might get a little more info on this couple...
1841 census- craig street, airdrie
richard...age 25...miner
1851 census- 3 craig street, airdie
richard...age 37...ironstone miner
mary ann...age 30...born montrose c1820
archibald...age 3
richard...age 9 months
1861 census- 11 craig street, airdrie
richard...age 46...coal miner
mary ann...age 40
archibald...age 14....coal miner
richard...age 12...coal miner
john...age 9
george...age 4
1871 census- 2 louisa land, airdrie
richard...age 57...colliery manager
mary ann...age 51
archibald...age 23...coal miner
john...age 18...coal miner
george...age 13...pony driver
david...age 8...born 18/7/1862
1881 census- 11 alexander street, airdrie
richard...age 69...watchman
mary...age 66
david...age 18...barber's assistant
william...boarder...age 42...coal miner
will check the 1891 for mary...
Joe