Re: Marriages and Deaths in New Brunswick 1860 - 1870
Civil registrations were just starting at the end of the period you are researching. Searching census records may be more productive. I suggest you type "Census New Brunswick 1871" and see what leads may appear which help you find married couples. This, of course, will not help you with deaths in the 1860s.
Do you know what church your family belonged to, and where in New Brunswick they lived? Church records may be your best source of information.