1861 shows Eliza b 1839 Ireland
1871 shows 1837 Carlisle
In 1861 - living next door to Thomas & Eliza were:
John Waugh 63 b Ireland
Jane 50 b Ireland
James 18 b Ireland
Mary Anne 12 b Carlisle
RG9 Piece 3920 Folio 77 Page 35
If these are her parents - Ireland is the likeliest birthplace for her given that she was b 1837-1839 and James was born 1842-43 Ireland
I can't see a Nevison/Waugh marriage on freebmd