There is a death announcement in the Liverpool Echo 16th Aug 1983, page 8, col 7 for an Evelyn Rimmer which is likely to be related to the death reg Blue posted.
This lady died on 15th August 1983 aged 66, The death announcement doesn't say what her address at the time of her death was (though says she died 'at home') but does say she was 'late of Calder Street, Everton'. Her funeral service was at Anfield, followed by cremation.
Though the notice does mention the names of her husband and 3 children, various grandchildren, a sister, brother and a brother in law, I can't post the names here as they may still be alive and RootsChat has a strict policy of not identifying living people. I'll drop Victoria a PM with the details. At least they may help to confirm or discount this death registration.
Boo