I couldn't find a William Ayton on the 1891 for England & Wales who looked as though he'd be described as a translator. The census was 5 April, so just before the date given for Gertrude's birth on the death registration, assuming that is her & the date was accurate.
Clutching at straws: on the Historical Directories site the 1895 Slaters for Manchester & Salford records a Jonas Ayton at 49 Perth Street, Cheetham. He was a compositor. At the same address on the 1891 census is James Ayton with his wife - he's born Scotland. I suspect this is really Jonas, as LancashireBMD has a marriage in 1888 at Salford that matches the couple. Jonas's baptism could be the one on FamilySearch in 1864 Edinburgh - parents William Ayton & Margaret Taylor. The same site records the baptisms of other children to the same couple - William Taylor (1865), Nimmo Crawford, Christina, James & William (1874).