Hi Amanda,
Don't know if this will help, but found four Sarah Jones deaths in Middlesbrough district 1939-1955, on the Tees Valley website
www.middlesbrough-indexes.co.uk/search.phpnone quite fit the birth year though.
GRO references are:
Sarah A 1939 Dec Qu Middlesbrough 9d 1163 aged 65 (b.1874)
Sarah 1946 Jun Qu " 9d 523 " 57 (b.1889)
Sarah 1951 Jun Qu " 1b 6998 " 64 (b.1887)
Sarah H 1955 Dec Qu " 1b 727 " 72 (b.1883)
You can look up the Middlesbrough reference numbers on the above website, and the Middlesbrough register office might be able to tell you from these ref. numbers if the deaths are in the areas you mention
Barbara