There's an Elizabeth Jarrett birth record for 1839 registered in Monmouth - which is correct as English Bicknor came under Monmouth in 1839.

Jarrett Elizabeth Monmouth 26 75

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Peter

I'll have a look for you as my x Grandmother was a Jarrett from Monmouth - her father was James JARRETT

Marriage at Drybrook - 21 April 1870

Joseph COLES - aged 39, Bachelor, occupation: Miner - residence: Lydbrook - father, James COLES, labourer

Harriett WILLIAMS - aged 32, Widow - residence: Lydbrook - father: Thomas JARRETT - Fisherman

witnesses: Philip PHELPS and Mailda HILEY

1871 Census, East Dean

Lydbrook

COLE

Joseph - married 39, Collier, born Lydbrook
Harriet COLE - 33 - home duties, born English Bicknor
Elizabeth COLE - 8 - born Whitchurch
Morris COLES - son - 3 months born Lydbrook

Picking up on the 1871 Census where Harriett is listed as the wife of Joseph Cole:

1871
Lydbrook Hill
38 Joseph Cole Head 39 1832 Male Lydbrook Gloucestershire England
38 Harriett Cole Wife 33 1838 Female English Bicknor
38 Ezabela Cole Daughter 8 1863 Female Whitchurch
38 Morris Coles Son 3mons 1868 Male Lydbrook Gloucestershire England

we look for the marriage which we find in the Parish Records on this site. It took place at Drybrook Parish Church on 21 April 1970 and was between Joseph COLES and Harriett WILLIAMS, a widow and daughter of Thomas Jarrett. The daughter Ezabela (Isabella) is born at Whitchurch and we find a Baptism on 12 July 1863 of Isabella WILLIAMS daughter of William and Harriet WILLIAMS at Whitchurch.
Harriett is said to be a widow when she married Joseph COLES and we find a burial in the Parish Records of William WILLIAMS aged 29 at Whitchurch on 8 July 1866. Our next step is to find a marriage between William WILLIAMS and Harriett and in the Parish Records is a marriage at Whitchurch on 1 September 1861 between William WILLIAMS and Harriet EVANS daughter of Thomas JARRETT, fisherman. We then look for a baptism of Harriett EVANS and again in the Parish Records on this site is this record:
Year: 1839
Month: Jul
Day: 14
Parents_Surname: EVANS
Child_Forenames: Harriett
Fathers_Forenames: [not stated]
Mothers_Forenames: Harriett
Mothers_Surname:
Residence: Coldwell
Occupation: Single woman
Officiating_Minister: H C Morgan
Event: Baptism
Memoranda:
Notes:
Register_Reference: BF 16/5
Page_Number: 81
Parish_Chapel: Goodrich

Finally this is a transcription of an entry in the 1841 Census:
1841 England, Wales & Scotland Census
Coldwell, Goodrich, Ross, Herefordshire, England
Members that resided in the household at the time of the census.
First name(s) Last name Sex Age Birth year Birth place
Thomas Jarrett Male 45 1796 Herefordshire, England
Harriet Evans Female 25 1816 -
Susan Evans Female 4 1837 Herefordshire, England
Harriet Evans Female 2 1839 Herefordshire, England
William Evans Male 0 1841 Herefordshire, England

Mike