This looks like his registration from the General Register,

First Name JOHN M
Last Name VINE
Birth Year 1921
Gender Male
Mother's Maiden Name VINE
Year 1921
Country Wales
County Monmouthshire
Event Quarter 4
District CHEPSTOW
District Number
Volume 11A
Page 1
Entry Number
Line Number 64

Hi Barbara,
First, please note I posted this without seeing your last post.

I suspect the father was an Alec MORGAN given the information on the PR. Yes the parents don't appear to be married but its reassuring to see the father is named on the PR, unlike many I've seen.
Could this be Alec I wonder, from this site's PRs ?. I think Alec's quite a rare Forest name which is helpful, I think this is the only Alec Morgan in the database, and he is the right age and approximate locality.

?

Record_ID: 147103
Entry_Number: 619
Year: 1901
Month: Jul
Day: 28
Parents_Surname: MORGAN
Child_Forenames: Harold Alec
Fathers_Forenames: William
Mothers_Forenames: Agnes Ann
Mothers_Surname:
Residence: Parkend
Occupation: Collier
Officiating_Minister: DJ Banham (Vicar)
Event: Baptism
Memoranda:
Notes:
Register_Reference: P245 IN 1/12
Page_Number: 78
Parish_Chapel: Parkend
Soundex: M625

HOWEVER now I think this can't be your Alec, altho may be a relation perhaps ?,
from FreeBMD

Deaths Dec 1908 (>99%)
-----------------------------------------------
MORGAN Alec Harold 7 Monmouth 11a 12

???

Searching thro FreeBMD etc etc I see this name is quite common just across the border in Monmouthshire eg Newport. It's also occasionally spelt "Alick".
Examples which you may like to followup are

"England and Wales Census, 1911"
Name: Alec Morgan
Event Type: Census
Event Date: 1911
Gender: Male
Age: 9
Birthplace: Newport, Monmouthshire
Schedule Type: Household
Registration District: Newport
Sub-District: Newport
Parish: Newport
County: Monmouthshire

"England and Wales Census, 1911"
Name: John Alick Morgan
Event Type: Census
Event Date: 1911
Gender: Male
Age: 25
Birthplace: Monmouthshire
Schedule Type: Household
Registration District: Abergavenny
Sub-District: Abergavenny
Parish: Abergavenny Urban
County: Monmouthshire

https://familysearch.org/search/record/results##count=20&query=%2Bgivenname%3Aalec%...

And, for completeness for other readers who may be interested, as you know sadly Daisy passed away very young.

Record_ID: 242666
Entry_Number: 418
Year: 1924
Month: Jan
Day: 5
Surname: VINE
Forenames: Daisy
Residence: Regent House Chepstow
Age_at_death: 26 years
Officiating_Minister: Rev[eren]d D Hughes
Event: Burial
Cause_of_death:
Memoranda: [1]Domestic Servant [2]F[emale] [3][place of burial] Plot D [number of grave space] 13 [4][Unconsecrated ground] Yes
Notes:
Register_Reference: E
Page_No: 21
Parish_Chapel: Chepstow Municipal Cemetery
Soundex: V500

Hope this helps, J

Ancestry have no other record of a John MORGAN VINE - other than his birth - (Sept 16 1921 - FoD records)

I've had a look a death records for birth date of Sept 16 1921, but no John VINE or John MORGAN - he could have been adopted and had a name change.

As John's father was an Actor - and Daisy would have been with Alec around Christmas 1920 - not sure what theatres were around Chepstow area i.e Panto's etc.

? Palace Theatre, Chepstow

May be Chepstow Union records, if available, would hold clues.