This might be her marriage, two years after her father died:

Surname First name(s)     District Vol  Page
Marriages Sep 1893   (>99%)
Rennie     Elizabeth Jessie  Chorlton 8c 147
Schofield  Harry Brook       Chorlton 8c 1147
Tait       John              Chorlton 8c 1147
Wood       Charlotte Mary    Chorlton 8c 1147

Chorlton is in Lancs.

TFPL, Apr 2021: This was confirmed to be her marriage by the transcript from the church records by FamilySearch and which gave the names of the fathers of both parties.
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In 1891 there was an Elizabeth Rennie, born in Scotland, working as a servant in Chelsea, London.
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In 1881 she was with both her parents in Dumfries.

She was a residuary legatee in her father’s will of 1891; she was then stated to be residing at the Royal Hospital, Wigan.

I’v e not been able to find her under any of Rennie, Schofield or Tait surnames in the 1901 or 1911 censuses.

However I have found this death:

Surname  First name(s)  Age  District  Vol  Page
Deaths Mar 1927   (>99%)
Tait     Elizabeth J    63  Brentford   3a   133
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TFPL, May 2019, using the new GRO indices to look for possible children:

Name:                               Mother's Maiden Surname:
TAIT, THOMAS  RENNIE                RENNIE  
GRO Reference: 1894  J Quarter in DURHAM  Volume 10A  Page 389
TAIT, ELIZABETH  ADELAIDE MITCHELL RENNIE  
GRO Reference: 1897  J Quarter in DURHAM  Volume 10A  Page 408
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And this is the same family in 1901, at The Grange, Sharnbrook, Bedford, Bedfordshire:

First name(s)  Last name  Relationship  Marital status  Sex    Age  Birth year  Occupation  Birth place
John           Tait       Head          Married         Male    39  1862        Physician & Surgeon  Scotland
Elizabeth      Tait       Wife          Married         Female  35  1866        -                    Scotland
Thomas R       Tait       Son           Single          Male     6  1895        -          Willington, Durham
Elizabeth A M  Tait       Daughter      Single          Female   3  1898        -          Willington, Durham
Mary S         Tait       Daughter      Single          Female   2  1899        -             Scotland
Margaret       Tait       Daughter      Single          Female   0  1901        -             Sharnbrook, Beds
Edith A        Askew      Servant       Single          Female  23  1878  Nurse Domestic      Odell, Beds
Mary J         Odell      Servant       Single          Female  21  1880  Housemaid Domestic  Odell, Beds
Martha H       Collyer    Servant       Single          Female  31  1870  Cook Domestic       Mursley, Bucks

The birth places have been correctly transcribed from the enumerator's sheet.
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In 1911 they were in Perth, Scotland at 24 Airlie St, Alyth, Perthshire, Scotland.  Their house had thirteen rooms.  For their marriage she recorded that they had been married for 17 years and that they had had 4 children all of whom were alive.  The occupants were:

Name                Role  Sex  Age  Cond  Occupation           Birth Place
John Tait           Head   M   49    M    Physician & Surgeon  Dumfries, Moffat
Elizabeth J Tait    Wife   F   45    M    -                    Dumfries, Dumfries
Elizabeth A M Tait  Daur   F   13    S    School               England
Mary S Tait         Daur   F   12    S    School               Dumfries, Moffat
Margaret J N Tait   Daur   F   10    S    School               England
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Her death transcript:

Page 9
1921 Deaths in the Parish of Moffat in the County og Dumfries

No: 25
Name:       Elizabeth jessie Tait. Married to John Tait Physician and Surgeon
Death:      1921 November 29th 8hr 40m pm a[at] Elvan Villa Beechgrove, Moffat
Sex:        F
Age:        52
Parents:    James Rennie, Brewer (deceased).  Elizabeth Rennie previously Turner M.S. Smith (deceased)
Cause:      Sarconia 2 years.  Asthemia.  As certified by William Fink MPCM, Noffat
Informant:  John Tait Widower present
Registrat:  1921 December 8 at Moffat  Grace Crawford  AssistantRegistrar.
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Theire banns transcript by Family Search:

First name(s)                    Elizabeth Jessie
Last name                        Rennie
Sex                              Female
Marital status                   Single
Year                             1893
Date                             18 Sep 1893
Town                             Manchester
Place                            Moss Side, Manchester
County                           Lancashire
Spouse's first name(s)           John
Spouse's last name               Tait
Spouse's sex                     Male
Spouse's marital status          Single
Father's first name(s)           James
Father's last name               Rennie
Spouse's father's first name(s)  Thomas
Spouse's father's last name      Tait
Register type                    Marriage
Country                          England
Record set                       Lancashire Banns & Marriages
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Their marriage index:

First name(s)     Elizabeth Jessie
Last name         Rennie
Marriage quarter  3
Marriage year     1893
MarriageFinder    Elizabeth Jessie Rennie married one of these people
                  John Tait, Harry Brook Schofield
District          Chorlton
County            Lancashire
Country           England
Volume            8C
Page number       1147
Record set        England & Wales Marriages 1837-2005
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