Don't suppose this will be much use to you however, it does give you the name and place.I suppose an 1851 Census might help you find the family.They are not related to me but there is a strong possiblity that they are due to the given names.
James Haddow, Lanark Scotland married Janet who was born abt 1834 in Carluke, Glasgow, Lanark
They had five children John b abt 1834 William b abt 1834 (twins?) Robert b. abt 1839 Janet b abt 1841 THOMAS b. abt 1844 Carluke Andrew b abt 1844 Isabella Bt abt 1847all born in Carluke.
If you are near a FHC you should try the Scottish Church Records.All these Haddows were born before Scottish Civil Registry.
I copied this when I first started (abt 11 yrs ago) and I did not make a note of where I gathered this information. Sorry.