Hello,
I have been on to NORS which is the online website and look-up of the Norfolk Family History Society. Caroline Parnell married at St Martin at Oak on 14/11/1853 Robert Browne. Note the transcription has -e on the end. NORS does not give facsimiles so I cannot verify the spelling. The bride made her mark. she was a spinster, shoe binder aged 20 of Osborn buildings. Robert was a shoe maker of Oak St aged 21 and a bachelor; he also made his mark. The parents were John Parnell, a shawl printer. Robert Browne senior was a shoe maker. Witnesses: William Fitt, Rachel Fitt. Both made their marks.
I cannot find any reference to a Caroline Read between 1852 and 1854. In fact the only Caroline Read's marriege in Norwich is 25/12/1859 at St Etheldreda's, Norwich to Charles Hook. He was son of James Hook and she daughter of William Read, a deceased waterman.
Looking at baptisms, I have found the following when inputting "John Parnell" and event date-years of 1815 - 1840:
Mary, daughter of John Parnell, weaver and his wife Mary at St Martin at Oak, baptised 23/02/1823 and under 'notes' the date 03/02/1823 which I take to be the child's date of birth.
John, son of John Parnell, shawl printer and his wife Mary at St Martin at Oak, baptised 05/10/1817 and under 'notes' the date 28/09/1817.
Harriett, daughter of John Parnell, no trade supplied and his wife Elizabeth, maiden name Parnell, baptised at St Martin at Oak 19/09/1824, and under 'notes' the date 16/09/1824.
Joseph, son of John Parnell, shawl printer and his wife Mary, baptised at St Martin at Oak 29/07/1838, under 'notes' "bn 26/07/1838".
William, son of John Parnell, shawl printer and his wife Mary, maiden name Bridges, baptised at St Paul's, Norwich on 20/06/1819 and under 'notes' "born 18 June".
John, son of John Parnell, cordwainer and his wife Mary at St Julian's, Norwich, baptised 13/02/1820 and under 'notes' "b. Feb 4th"
John, son of John Parnell, weaver and his wife Mary (home parish: St Margaret's) at St Margaret's, Norwich baptised 01/05/1825 and under 'notes' "born March".
Benjamin, son of John Parnell, shawl printer and his wife Mary at St Bartholomew's, Heigham, baptised 27/05/1821; no date of birth given. [Heigham is a North-west Norwich suburb]
Now for marriages - only one between the dates searched:
John Parnell, shawl printer of St Benedicts, single and signed, married at St Benedict's, Norwich 25/05/1817 Mary Bridgets, single and made her mark. Witnesses: Benjamin Parnell (mark) and Abram Stannard (signed).
Seeing the witness Benjamin Parnell I did a look-up for a Benjamin Parnell from 1775 to 1830. there is a marriage between Joseph Parnell at St Martin at Oak to Frances Dawson 12/09/1806 (he a widower, she single and both made their mark) with witnesses Benjamin Parnell (mark) and Stephen Codman(signed).
This has been something to get you going. It has probably raised some questions for you. But a lot of my findings fit in with the 1841 census someone has sent you in a thread below. Note difference in Bridges and Bridgets for Mary Parnell's maiden name.
NFHS costs £10 a year and online access to NORS comes with it along with monthly newsletter-bulletin - should you think it worthwhile. But if not too onerous and I have the time I'll do another look-up for you.
Happy hunting - rihuggett.