Beatrice Eccles Garrity married Albert Ingle in 1958 but on the 1939 register, at 18 Varley Road, her name is recorded as Beatrice (Ingle) Garrity.
PippaR
The 1939 register doesn't just capture information as at 1939. In some cases, as here, later dated information is added. Look at the ink colour the 'Ingle' is written in and look at the date of the corresponding ink colour on same line. This lets you see that the 1939 record was 'updated' in 1959.
My family tree now has been thrown into absolute chaos.
Right, now that is out of the way, on to the 'confusion', which, by a process of elimination, we can hopefully help to lesson.
a) The Hugh at 10 Clare Street and the Hugh at 18 Varley Road have different dates of birth and different occupations, so as you would expect, given a person should only be registered once, would seem to be entirely different people. Did you think they were the same person?
b) Did the presence of a male Eccles at Clare Street cause you to believe the Hugh there was the one married to a Beatrice Eccles?
c) Who is actually on your main ancestral line (or the main line of the person you are researching on behalf of, if applicable)? That is to say, is it a Charles Garrity and so you are also looking for him and his potential siblings/spouse/offspring, or is it a Hugh Garrity, and you are looking for him and any of his potential siblings/spouse/offspring? Which Garrity, if neither a Charles or a Hugh, is your 'starting point', ie the one you know from personal knowledge or family records is 'yours' and that you are working back from?