I've been doing a bit of digging into the reasons for the 1939 note "see page 2 book 2" and found these 2 sections from the National Archives interesting.
8. What does it mean when an entry is crossed out and marked ‘See page…?’
These refer to ‘continuation entries’ where the line in the ‘postings’ column (see section 9.3) against a person’s name was full up, and a new line had to be created for any new entries.
The new line was added at the back of the enumeration book or sometimes at the back of the next book in large enumeration districts that comprised two or more books. You can browse to the page containing the continuation entry if it is in the same book; if it is in the next book you can use the browse function described in section 5.2 to go there, and then browse to the right page. However, this is very unlikely to contain any additional information.
9.4 The ‘postings’ column
Each entry in the Register extended across a double page spread. However, the accessioned digital record does not include the ‘postings’ column on the right hand page which contains various codes used for National Registration and National Health Service purposes. The National Archives does not have access to this column and the information it contains.
https://www.nationalarchives.gov.uk/help-with-your-research/research-guides/1939-register/The article in the link below from "Lost Cousins" also has suggestions regarding what was on the right hand page that we cannot see. It suggests the right hand page was used for NHS codes such as when someone visited a new doctor. As Patricia had a "continuation entry" on another page she must have had a lot of entries, maybe Patricia moved around a lot.
The Register was used by the National Health Service who continued updating the records until 1991.
https://www.lostcousins.com/newsletters2/mar16news.htm#NHSInteresting thread Tweekymum, I hope you find Patricia.