I'm afraid the Manchester Jewish Museum may not help with genealogical research
The 1891, 1901 and 1911 censuses may give some info on family origin - try Ancestry or FindMyPast.
The 1921 census is not public domain yet, although the 1939 register (a mini-census) is
Try the Discovery search engine at the UK National Archives to see if they hold her father's naturalisation papers (if he applied for British citizenship). If he did you can ask for a quotation for a copy of the full file. Often that will give information on his birth place in Poland/Russia.
Try jri-poland (part of JewishGen) - if you find her parent's listed there, it will give details of where they lived, access to the images and may lead you to ancestors' names