The only Hamiltons I could find on the 1871 in the counties you mentioned were: 1871 England Census NameAge in 1871BirthplaceRelationshipCivil ParishCounty Christina Hamilton22 Dumfries-shire, ScotlandLodger Liverpool Lancashire Elizabeth Hamilton63 Corrie, Dumfries-shire, ScotlandWife Ince Blundell Lancashire William Hamilton68 Forlkovate, Dumfries-shire, ScotlandHead Ince Blundell Lancashire Mary Hamilton40 Berwickshire, ScotlandHead Berwick Northumberland Thomas Hamilton18 Berwickshire, ScotlandSon Berwick Northumberland (Tailor) John Best Hamilton9 Berwickshire, ScotlandSon Berwick Northumberland Margaret Jane Hamilton7 Berwickshire, ScotlandDaughter Berwick Northumberland Isabella Willis Hamilton6 months Berwickshire, ScotlandDaughter Berwick Northumberland Alice Allan Hamilton5 Berwickshire, ScotlandDaughter Berwick Northumberland Eliza Berson Hamilton3 Berwickshire, ScotlandDaughter Berwick Northumberland 1901 England Census NameAge in 1901BirthplaceRelationshipCivil ParishCounty Walter Hamilton21 Roxburghshire, ScotlandCrew Vessels Royal Navy ~~~~~~~~~~~~~~~~~~~~~ >>This is them on the 1881<< Adam HAMILTON 58 Dumfries, Dumfries, Scotland Head Ag Lab Mary HAMILTON 55 Linton, Roxburgh, Scotland Wife Janet HAMILTON 31 Linton, Roxburgh, Scotland, Daur Domestic Servant (General) Thomas HAMILTON 23 Jedburgh, Roxburgh, Scotland Ag Lab Adam HAMILTON Jedburgh, Roxburgh, Scotland Ag Lab Mary HAMILTON 20 Jedburgh, Roxburgh, Scotland Ag Lab Walter HAMILTON 16 Oxnam, Roxburgh, Scotland Ag Lab David HAMILTON 14 Swinton, Berwick, Scotland Scholar James HAMILTON 11 Hownam, Roxburgh, Scotland Scholar William HAMILTON 9 Oxnam, Roxburgh, Scotland Scholar Jessie HAMILTON 5 England Gran Daughter Mary HAMILTON 7 m Crailing, Roxburgh, Scotland Gran Daughter