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Was the child who died pre 1901 census Lilian aged 14?

Yes

What was his occupation/birthplace please?

Is Mary a widow in 1921?

No she was married, Thomas only died in 1936 in the Workhouse, she was on the census as visitor and a servant.

Who are you looking for?  Census searches are mainly by name but only FindMyPast allow a census search by address for the 1901

I have Heaton relatives who seemed to be linked to there, a child died there in 1901 just before the census, but in the 1901 or 1911 census i cant find Thomas Heaton (b 1857) or Mary A Heaton (b 1858), their other children in the 1901 were dotted around family bar the one who died in the Workhouse. Come 1936 dad Thomas Heaton died in THAT workhouse too, ive been unable to find him in 1901,1911 and 1921.

Ive found mum Mary in 1921 with her daughter but then no death that seems to match with her.

So basically id like to scroll through the 1901 Union Workhouse census just incase theres been an error in the transcribing

  so many posting while trying to post, but will add anyway!
Brother Thomas Havelock Lippiatt, did sign up for WW1, but there are no CEF signup papers or the usual followup docs as to his service, rejection, or changing of corps. ( he does appear to have a Regimental number: 11155-H-7)  All this does sound like a likely scenario, though.
https://recherche-collection-search.bac-lac.gc.ca/eng/Home/Record?app=pffww&IdNumber=634211&q=Thomas%20Havelock%20Lippiatt
He did serve with the British Army as Lieutenant / Captain Royal Army Medical Corps Source:2672369

adding, for descendants :
He was already receiving a commission in Sept. 1914 so his was an early signup!
Too many pages to trawl through. Canada Gazette, vol.48, no. 13, Sept 26, 1914
http://www.rootschat.com/links/01thw/
The undermentioned Lieutenants of the Canadian Army Medical Corps
to be temporary Lieutenants: Date 30th June, 1915. Havelock Thomas Lippiatt, M.D
https://www.thegazette.co.uk/London/issue/29237/supplement/7159/data.pdf
Quebec Gazette- Lieut. Gov. 14 Aug. 1908 appoints Havelock Thomas Lippiatt,
 physician, of Bristol Corner...to be joint coroner of the district of Pontiac.
https://numerique.banq.qc.ca/patrimoine/details/52327/2356183

Post away! Thankyou for all the extra information i love it! It seems when he was back in the UK and his dads side of the family, were all down south so i wonder how these books ended up up north, unless there was someone like me who got them due to being sad they had been left and brought them up here Its so interesting to see how much the family moved around but sad to find that the mum died just short of a year from writing the note to Joseph. I can see why it was kept.