Her birth indices

(a) the new GRO one, giving her mother’s surname:

Name:          Mother's Maiden Surname:
CARROLL, -     HAMILTON  
GRO Reference: 1900  J Quarter in BROMLEY  Volume 02A  Page 473

(b) The one one giving her name but without her mother’s”

First name(s)         Delia Mary C
Last name             Carroll
Birth quarter         2
Birth year            1900
Mother's maiden name  -
District              Bromley
County                Kent
Country               England
Volume                2A
Page                  473
Record set            England & Wales Births 1837-2006
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A probate entry is to be found for her death in Ireland in 1961, dying 13 Mar 161, a spinster and admin to James Vincent Carroll Veterinary Surgeon.

Who is this James?

Was she in the 1939 Register in England?
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Probably not her as a clear Delia M C Carroll married in 1927 in Woodstock, Oxon to a Thomas G Stockford.  Is she on the 1939 Register with that name?

Yes it was her as Stockford, widowed, born on 4 May 1900, which ties in with the above birth record.  FindMyPast adds a probable death record for 1980.  It has the exact same birth date so must be hers.
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The following four children with the Stockford surname and a mother’s maiden name of Carroll are highly likely to be theirs:

               Birth
   Forenames   Year   District
1. Ursula M    1927   Oxford
2. Jane A      1928   Oxford
3. Susan E A   1929   Oxford
4. Lesley D A  1931   Headington

The new GRO index has them as well:

   Name:                              Mother's Maiden Surname:
1. STOCKFORD, URSULA MURIEL           CARROLL  
   GRO Reference: 1927  M Quarter in OXFORD  Volume 03A  Page 1599
2. STOCKFORD, JANE  ANN               CARROLL  
   GRO Reference: 1928  J Quarter in OXFORD  Volume 03A  Page 1764
3. STOCKFORD, SUSAN  ELIZABETH AMY    CARROLL  
   GRO Reference: 1929  D Quarter in OXFORD  Volume 03A  Page 1596
4. STOCKFORD, LESLEY  DELIA ADILE     CARROLL  
   GRO Reference: 1931  J Quarter in HEADINGTON  Volume 03A  Page 1867
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In 1939 she was at: 62 Wilkins Road, Oxford, Oxford

First name(s)  Last name(s)  DOB          Sex     Occupation     Marital status  Schedule  Schedule Sub Number
Delia (M C)    Stockford     04 May 1900  Female  Private Means  Widowed         191       1
The record for this person is officially closed.
The record for this person is officially closed.
Susan (Elizabeth)  Pickering (Stockford)  19 Oct 1929  Female  At School  Single  191      4

Ref: RG101/2172F/018/19
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Her death index:

First name(s)  Delia Mary C
Last name      Stockford
Gender         Female
Birth day      4
Birth month    5
Birth year     1900
Death quarter  1
Death year     1980
District       Ringwood & Fordingbridge
County         Hampshire
Volume         20
Page           1077
Country        England
Record set     England & Wales Deaths 1837-2007
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Her probate index:

1980
STOCKFORD, Delia Mary Claud of Flat 11 Remy Pl Iffley Oxford died 6 February 1980 Probate Oxford 18 April £21992  802803667T

Her will has been ordered to see what it says of her daughters.
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Her will was dated 22 July 1961 and named Barclays Bank as her executors.  She left £21623 net.

She listed her three daughters:

1. Ursula Muriel Stockford,
2. Jane Anne Stockford,
3. Susan Elizabeth Stockford.

This was over thirty years after the births of all her surviving daughters and none of them seem to have married by the time the will was signed.
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Their marriage index:

First name(s)       Delia M C
Last name           Carroll
Marriage quarter    1
Marriage year       1927
MarriageFinder      Delia M C Carroll married one of these people
                    Thomas G Stockford
Spouse's last name  Stockford
District            Woodstock
County              Oxfordshire
Country             England
Volume              3A
Page number         1644
Record set          England & Wales Marriages 1837-2005
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