Thank you. I'm not sure I'd have made sense of Mary Ellen's info without all of your help.
Quick checks of Catherine Lambert suggest one with her parents lodging with a John and Jane Bond in Liverpool. They may have come from Ireland which may explain Ireland being on Kate Carr's census entry once? Maybe.
That's possible. If she was consistent about p.o.b. on every other census. She might even have adopted an Irish accent to fit in. It has been known.

We always have to remember that we are only looking at census enumerator's books apart from 1911 census. The household member completing the return may have made a mistake or the census enumerator might have copied it down wrong.
I came across several households in Preston whose members were all born in Ireland according to census enumerator's book. Many of them were actually born in Lancashire. There were Irish households in the first few houses in the street and the census clerk had written "do" for ditto under "Ireland" and continued writing "do" for several pages even when it was obvious that birthplaces were in Lancashire. I checked that there were no places called Bacup, Rawtenstall or Oswaldtwistle etc. in Ireland before reporting the error.

My Scottish ancestors in Preston are down as Irish on 1841 census but Scottish in 1851.