Hi Carol,
'Visitor', I've often found to be related though the relationship isn't shown.
I guess the big gaps might be because she had no luck with her children i.e. there were children who were born and died between censuses.
I'm afraid I've given up looking for Elizabeth in 1881 - I did look at a lot of them but ... She might well have been re-married, or have been living with someone and taken his name - and might well have thoroughly misrepresented her age!
The Keswick birthplace is a bit strange ...
I did find Catherine (HANNAH) RICHARDSON in the 1881 for what it's worth - in Bootle with her daughter.
Mary Elizabeth MCKENZIE, Head, U(!), 26, b Liverpool, Annuitant
Catherine Agnes MCKENZIE, Daughter, 3, b Bootle
Catherine RICHARDSON, Mother, (no marital status given - there's the death of a Joseph Hayton P RICHARDSON, age 50, Q3 1875, W Derby), 58, b Whitehaven, CUL
Joseph William RICHARDSON, Brother, U, 21, b Liverpool, Stone Mason
Thomas Pollard RICHARDSON, Brother, 10, b Liverpool, Scholar
and 4 ANDERTONs, the eldest born in Whitehaven.
Joseph William's christening at St Peter, Liverpool is in the IGI - there are a few at St Peter with father with that wonderful name of Joseph Heaton/Hayton Pollard RICHARDSON.
Sorry Paul - but, as I said a couple of posts ago "Could be expensive!"
JAP