Hi Lincsmaster, I am also interested in Caroline Vinter née Lambert, but I have a completely different theory as to who she is.
I agree with rjknott that the 1817 baptism of Caroline Lamport in Poole fits very well into the family of Thomas Lamport and Mary née Thompson, and I originally allocated this to John Vinter’s future wife. However, this Caroline appears in the 1841 census at Stanpit near Christchurch, as Housekeeper to her brother Edward the schoolmaster and their widowed father Thomas.
Then in 1846, according to the Sherborne Mercury (7th November 1846 issue), "Caroline, youngest daughter of Mr Thomas Lamport of Poole", married Mr Joseph Henry Taylor, of Winkton near Christchurch on 21st October. The wedding took place, for reasons I have not investigated, at North Yarmouth in Norfolk. From the marriage certificate, the witnesses were Caroline's father Thomas and her sister Fanny Spiller. Joseph and Caroline appear in the census at Winkton near Christchurch from 1841 to 1871, and Caroline is still there as a widow in 1881.
It appears, then, that John Vinter's wife was not the daughter of Thomas and Mary Lamport. So who was she? I haven't been able to find a christening for her, but the 1834 will of one John Tilsed (
https://kjthistory.livejournal.com/13319.html) mentions a George Lambert and his daughter Caroline without explaining who they are.
I explain my theory for Caroline's parentage in "A brief exploration of the 'Lives' included in the Narrative of John Tilsed 1747 - 1834" (see 'Life 8' at
https://kjthistory.livejournal.com/13241.html), but in summary, I currently believe her to be the daughter of George Lambert of Hampreston, with George being the illegitimate son of Jane Lambert of Hampreston, by John Tilsed, who was the widower of Jane's older sister Mary.
John Tilsed died in Wimborne on 30th July 1834 and his will was proved 30th April 1835. The delay was presumably due to John leaving a daughter and financial affairs in Newfoundland.
For more details of the very interesting life and times of this John Tilsed, see
https://journals.lib.unb.ca/index.php/NFLDS/article/download/28901/1882521707?inline=1 , published in the Journal of Newfoundland and Labrador Studies in 2018.