Joseph East birth registration help please

[worth]

Hi all, I have a Joseph East born, according to his war records, on 13 March 1896 in Sheffield, but i cant find any birth registration for him anywhere.
His mother was called Caroline East born in Sheffield in 1878, Caroline married in 1899 to Joseph North in Lincoln.
Joseph would have been born illigitimatley to Caroline East.
Joseph East was 3 on the 1901 census (which actually puts his birth as 1898) and living with his mother Caroline and her husband Joseph North plus another North child aged 10 months. On the 1911 census Joseph East has become Joseph North aged 13  and living on Wragby Rd in Bardney with his mother and stepfather. I haven't found him in 1921 yet so unsure to whether he is using the surname North or East at the time.
He married a Kathleen Harrison in 1934 in Lincoln under the name East.
Joseph and Kathleen are not together in 1939.
Please could another pair of eyes see if they can find a birth registration for Joseph East and would he have had to be registered at that time.
Thanks in advance x

[willsy]

I couldn't find a Joseph East birth, but did find Joseph Tear, the only East birth for a 'Joseph' born in Sheffield to Joseph and Caroline Tear, this Joseph being born 13th March 1898

GRO
TEAR, JOSEPH        EAST     
GRO Reference: 1898  J Quarter in SHEFFIELD  Volume 09C  Page 537

Sheffield Indexers

http://www.sheffieldindexers.com/ParishBaptismIndex.html

[Ashtone]

Details for baptism for Joseph Tear in Sheffield:

Born 13 March 1898, baptised 23 March
Parents: Joseph & Caroline
Abode: 6 Rough Bank
Father's occupation: Turner and fitter

In his army service records, Joseph East indicates his next-of-kin is Caroline North (mother) and Lottie East (sister). I think her name is Lottie. 

Is this mum Caroline below?

Yorkshire, Sheffield Crime Courts And Convicts 1737-1938
Name: Caroline East
Birth year: 1877
Event date: 10 Mar 1894
Other details: Wandering abroad
Source document: Sheffield, Magistrates Court Register

[willsy]

I did spot a Charlotte East born in Sheffield 1895, no MMN, then I think as adopted daughter with the Kirk family in Lincolnshire, it's a bit late and hope I have remembered it right, she is with Thomas Kirk and his wife

1901 Charlotte Kirk born Sheffield
1911 East adopted daughter

and later Lottie Kirk, in Lincolnshire.

[MollyC]

The baptism was at St. John, Park.
(Indexed from microfiche at Sheffield Archives by http://www.sheffieldindexers.com/ )

Added:  St John's church is in the centre of this map, Rough Bank is due south of the church.

https://maps.nls.uk/view/125651209

[worth]

Thankyou all so much, i have just got the digital index for Joseph Tears birth and i am pretty sure its the correct registration. Caroline and Joseph must have made the name Tear up to avoid the stigma of Joseph being illigitimate, much appreciated and thanks again xx