1861- Eaton, Oliver, grocer, Waterside.
1877- Bakers- Oliver Eaton, Waterside
1880- Bakers- Oliver Eaton, Waterside
1901- Bakers- Eaton, Oliver, Waterside
1907- Eaton & Co., Waterside
1918- Bakers- Eaton & Co., Ltd., Waterside
I can see no indication of 2 Eaton bakeries in Londonderrry.
Probate of the Will of Oliver Eaton late of Altnagelvin County Londonderry Merchant who died 17 December 1900 granted at Londonderry to Joseph C. Eaton Merchant.Eaton Ellen Jane of Altnaglevin county Londonderry widow died 8 November 1941 Probate Londonderry 2 November to John Eaton and Joseph Charles Eaton company directors. Effects £112 18s. 8d.Eaton John of 44 Castlerock Road Coleraine county Londonderry retired merchant died 14 October 1958 Probate Belfast 2 February to James Thompson Eaton and Charles Oliver Eaton firm directors. Effects £12407 13s.