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There is a Facebook group "Kensington Palace Hotel Staff" which could be worth a try. Only for people who worked there, sometimes these groups go back as far as you are looking at.

Interestingly, it used to be called the 'Royal Palace Hotel', and changed to the 'Kensington Palace Hotel' by 1954 - it was demolished in the 1960s when the Royal Garden Hotel was built on that site - which funnily enough I worked at from 1978-1980!
I don't think you will find personnel records from those days, especially as the hotel hasn't existed for so long.  Newspaper articles will be a long shot, too, sadly.

EDIT: after posting, I saw an earlier reply from AnthonyMM mentioning where it stood in the 1980s, which is making me think this could be the one you're looking for instead.  I have a very vague feeling in my memory it might have been on the opposite side of Kensington High Street when I worked at the Royal Garden Hotel.  Good luck!

Her death is on freeBMD as Florence E M Aldridge and the GRO site as Florence Emily Mary Aldridge aged 49, 4th q 1938, Nottingham 7b 310

Brilliant - thank you.
I looked on Freebmd and GRO and got no results    I can order the death certificate now. 

I don't have a FindMyPast sub for the 1921 census, not surprised to hear you can gather she was in service though, as she had been throughout her life. That one will have to wait, methinks.

Thank you so much for your help, it's much appreciated.

Where was your Florence born please?

There is a Florence Aldridge aged 18, born St Leonards, Sussex - a servant in Sherborne, Dorset in 1901.

Thank you - it's turned out to be her!  Am almost turning cartwheels - she has been part of an utter jigsaw of a story regarding my gg-grandfather that I've been trying to piece together for years.

I am very grateful to you.

Dave Francis - thank you....all very interesting, especially that baptism.
Will have a good look at all this over the next few days.

I appreciate your help, and all those who have replied.

Thanks everyone for looking, and for what you've found so far. It looks like Parker Road wasn't there in 1901!

It's an extremely messy family story - I'll try to keep it brief. 

Her mother was Eliza Middleton b. 1854 Richmond. She was a Nursemaid . On the 1881 census taken 3 April she's a nurse at the Southdown Hotel, Eastbourne.  On 23rd May she marries HENRY JAMES ALDRIDGE at Eastbourne Register Office.

Henry James Aldridge is my 2xg grandfather and the black sheep of my family. Changed his name, was with numerous women, fathered lots of children by different women.  Changed his name frequently, where he lived and his occupation.  In a newspaper report of 1893 (Bournemouth) he is charged with 'neglecting a wife' (Eliza). The court report mentions a daughter (Florence Aldridge, aged 9) and states that from 1881 he and Eliza were to-ing and fro-ing between Bournemouth and Brighton. (He also has a partner of about 7 years living in Brighton with 3 children and another due in Sep 1881!)

I haven't yet found a definite birth registration for Florence, so I can't be sure of her birthplace.

Eliza is on the 1891 census in The Firs Home, Christchurch, Bournemouth with incurable TB.
In 1901 Henry is shown with another woman he calls his wife - and her sister -running tearooms in Woking. On the death certificate where Florence gives the Parker Road address, she states that Eliza is 'the wife of Henry James Aldridge, a Chef from Bournemouth' (how accurate this was is anyone's guess!) 

Eliza dies in May 1903, and in September of that year Henry marries the sister of the woman he was living with in Woking in 1903 !

 I was hoping that if Florence was at Parker Road in 1901 it would give her place of birth - I've no idea what happened to her while her mother was in hospital all that time, or what happened to her afterwards.

Sorry it's so complicated!