Many apologies for the late reply, I moved back to Sheffield at the weekend so not been around on the computer.
No she isn't that Elizabeth sadly. She's the Elizabeth Beckitt born 1834 who married Louis Karpinski who after 1861ish disappeared in to thin air with their son and then Elizabeth lived as the wife of George Henry Taylor from around the mid 1860s. They actually did marry in 1899. She must have felt confident Louis wasn't going to turn up at that point. She's on the 1901 census with one of her children, George is in the workhouse as just Henry Taylor. I cannot locate either after this census. I assume she died but not yet found the right death or burial for her.