Hi Julia,
Sorry to say that I cannot see any reference to Walker or Watson in Eddleston. I do see a Stevenson but it is for a Margaret Stevenson who died Edinburgh 1858 who was married to John Cochrane farmer at Nether Kidston.
I have also searched Peebles for you and found this one:-
Alex Walker 11.6.1870 87, w Grace Laidlaw 7.7.1833 65 (?), da Helen 11.11.1863 (40), s Geo 6.7.1818 1, da Mary 2.2.1843 21, by yt da Janet NZ 1873, gs John Walker 13.6.190(6) 74 (w Isabella Ker 24.1.191(6) 78, da Grace Ker Walker 5.1.1939 70)
This is exactly how it is typed.
Do you think that this is your family? Obviously the NZ part jumped out to me.
Feel free to ask me to check any other if you wish.
Kind regards
Brina
