Yes, unfortunately the middle name of Tytler seems to have been dropped after Alexander's baptism. I can now see this family in the Tynemouth area 1841, or at least siblings William, Helen and youngest brother Allan but can't see any likely matches in northern England for the others: Jane, George and John Robert. Do you have Cecilia?
Cecil Millar, daughter of Robert Millar & Jane Low born 13 Feb 1803 Edinburgh City
Cecilia Miller, dau of Robert Miller, married Charles Robertson 16 Nov 1827 Edinburgh, Canongate
1841
685/Edinburgh, Lady Yester
4 Robertson Close
Charles Robertson 35 Painter Journeyman
Cecilia Robertson 35
Margaret Robertson 7
All born Midlothian
Cecilia Robertson/Miller died 19 Apr 1842 Edinburgh
brigau