HiThey are different kinds of asylums, hence Winifred not appearing in those lunacy records.Her records from Paddington's Register of Lunatics and Imbeciles, showing dates of admission/discharge, all two imagesTooting Bec 1909https://www.familysearch.org/ark:/61903/3:1:3QHV-P3NT-6KSFDarenth 1909https://www.familysearch.org/ark:/61903/3:1:3QHV-L3NT-6KFHNext register has Winifred still at Darenth, she died 23 May 1915https://www.familysearch.org/ark:/61903/3:1:3QHV-P3NT-6NNJI don't see Gertrude in those books.
Sorry, I can't see them on ancestry. There isn't really any more to them except the names, age, dates of admission and discharge, notes of transfers. etc.