I'm researching Lumsdens/Lumsdales who flitted between Bo'ness/Carriden and the Monklands in Lanarkshire. Would the following be connected to your search?
Parents: John Sneddon, Catherine Lumsden/Lumsdale
Children
Isabella Sneddon
birth: 18 Dec 1828, Cadder, Lanarkshire
William Smith Sneddon
birth: 10 Sep 1840
christening: 27 Sep 1840, OLD MONKLAND, LANARKSHIRE
1841 Scotland Census
Name: Catherine Sneddon
Age: 38
Estimated Birth Year: abt 1803
Where born: Scotland
Civil parish: Old Monkland
County: Lanarkshire
Address: Causeyside
Occupation: Tambourer
John Sneddon 35 Coal Miner, born Scotland
Catherine Sneddon 38
Isabella Sneddon 12
Janet Sneddon 10
William Sneddon 6
Richard Sneddon 4
I reckon Catherine was the daughter of Richard Lumsden and Catherine Snaddon, and born in Bo'ness.