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Sorry correct spelling should be Frances, as the last child died 1798, i wondered if she died in childbirth, Thomas married again in 1806,

just posting what comes up

Name: Frances Louth
Gender: Female
Christening Date: 1755
Christening Place: ADDLETHORPE, LINCOLN, ENGLAND
Birth Date:
Birthplace:
Death Date:
Name Note:
Race:
Father's Name: Robert Louth
Father's Birthplace:
Father's Age:
Mother's Name: Anne
Mother's Birthplace:
Mother's Age:
Indexing Project (Batch) Number: C02532-3
System Origin: England-VR
GS Film number: 1541968
Reference ID: - 2:2NQTNRC

Name: Thomas Reynoldson
Birth Date:
Birthplace:
Age:
Spouse's Name: Frances Lowth
Spouse's Birth Date:
Spouse's Birthplace:
Spouse's Age:
Event Date: 1775
Event Place: Addlethorpe, Lincoln, England
Father's Name:
Mother's Name:
Spouse's Father's Name:
Spouse's Mother's Name:
Race:
Marital Status:
Previous Wife's Name:
Spouse's Race:
Spouse's Marital Status:
Spouse's Previous Husband's Name:
Indexing Project (Batch) Number: M02532-3
System Origin: England-VR
GS Film number: 1541968
Reference ID: 2:3X0TF75

I see the children listed to 1798 birth however she would then be 43 years old so maybe getting near to the end of her childbearing age not necessarily that she died about then

And this could be why you can't find a death for her:

County Lincolnshire
Place Addlethorpe
Church St Nicholas
RegisterNumber 2
BurialDate 13 Sep 1813
Forename Thomas
Relationship
Rel1MaleForename
Rel1FemaleForename
Rel1Surname
Surname REYNOLDSON
Age 58
Abode London <<<<<<<<<<<<<
Notes died at Addlesthorpe

Their marriage (details given above not quite right):

County Lincolnshire
Place Addlethorpe
Church St Nicholas
RegisterNumber
MarriageDate 24 Jul 1775
GroomForename Thomas
GroomSurname REYNOLDSON
GroomAge
GroomParish
GroomCondition
GroomOccupation
GroomAbode
BrideForename Frances
BrideSurname LOUTH

spelling of Frances

Name:
Thomas Reynoldson

Gender:
Male

Marriage Date:
1775

Marriage Place:
Addlethorpe, Lincoln, England

Spouse:
Frances Lowth

FHL Film Number:
1541968

Reference ID:
2:3X0TF75

Francis is the male spelling , have you looked on family search site as Frances Reynoldson :-)

She was born 1755, Francis Louth, married Thomas Reynoldson 1776 anderby Lincolnshire, last child 1798, can not find her date of death