The cache is not at the published coordinates. To find the cache you need to work out the coordinates from the given information.
Each of the 5 facts below will lead you to a person. The people are all linked in some way and the link will lead you to a year.
A – The year linked to an engineering genius whose electric train ideas were overshadowed by his successes with steam.
B – The year linked to the playwright daughter of a Gateshead glass maker.
C – The year linked to the father of English geochronology with a crater on Mars named after him.
D – The year linked to the founder of the first Gateshead newspaper.
E – The year linked to Hope, Ruth and Sylvia.
The cache can be found at:
N 54 56.abc
W 001 35.def
Now you have the years, you need to work out
a = A - (B - 1)
b = a + a + a
c = A - D
d = B - C + c
e = A - E
f = e - c

You can validate your puzzle solution with certitude.