Here's the trail I followed..Sedwicks is a definite possibility. I found no suggestion of Sarah Denham (where did you get the name from originally?)
On the profile you have Sarah Denham marrying Thomas Beeching at Pluckney on 1 Sept 1733. The FS index for the marriage on that day says that Thomas Beeching widower married 'Cartar' widow. No first name in transcript and of course Cartar (Carter) was not her maiden name.
"England, Kent, Parish Registers, 1538-1911," database with images, FamilySearch (
https://familysearch.org/ark:/61903/1:1:QKJ6-SKY2 : 8 December 2017), Thomas Beeching and Cartar, 01 Sep 1733; citing Marriage, Pluckley, Kent, England, Kent Archives Office, Maidstone; FHL microfilm 1,473,764.
The 1734 baptism of Thomas Beeching was as a son of Thomas and Sarah.
"England, Kent, Parish Registers, 1538-1911," database with images, FamilySearch (
https://familysearch.org/ark:/61903/1:1:QKJ6-33JX : 8 December 2017), Thomas Beeching in entry for Thomas, 23 Jun 1734; citing Christening, Pluckley, Kent, England, Kent Archives Office, Maidstone; FHL microfilm 1,473,764.
A Robert and Sarah Carter had children baptised in Pluckney (Henry in 1726, Robert in1730).A Robert Carter was buried in 1732 (all Pluckney, all indexed on Family Search) Sarah Carter could then have married Thomas Beeching in 1733.
After that I was stuck but an Ancestry tree has a marriage of a Sarah Sedwicks to a Robert Carter in Canterbury in 1725
It gives as a source a marriage licence with a reference KFHS T: Kent Family History Society but I don't know what the T stands for. (If this does include info from the marriage license it could tie Robert to the parish of Pluckney but we don't know)
I found this marriage is also indexed on Ancestry's English marriage index ( which comes from a family search film).
Name Sarah Sedwicks
Gender Female
Marriage Date 21 Aug 1725
Marriage Place St George'S, Canterbury, Kent, England
Spouse
Robert Carter
FHL Film Number 1736586
Reference ID item 3
(you could look for the film on Family Search. The entry could also include the husband's parish.I have to give up and go shopping!)