There is a birth record (7 July 1811) for a Richard Streeter in Harbledown, on the other side of Canterbury from Ickham but a neighbouring parish to St Dunstan.
https://familysearch.org/pal:/MM9.1.1/NJMT-YV3Further information following on from Casalguidi’s posting.
Baptisms in Ickham
Sarah d/o Thomas & Mary RANDALL 12 January 1806
Maria Ann d/o Thomas & Mary RANDLE 28 March 1807
Thomas s/o Thomas & Mary RANDLE 13 November 1807
Keziah d/o Thomas & Mary RANDALL 13 May 1810
William s/o Thomas & Mary RANDALL 5 April 1812
One baptism in Littlebourne
Mary d/o Thomas & Mary RENDALL 15 April 1804
A marriage in Ickham
Thomas RENDAL (of Littlebourne) Mary MEASDAY (otp) B 15 October 1803
Witnesses Thos Measday Ann Twyman
Adding to the marriage of Richard Streeter and Kezia Rendell in 1837 the witnesses were Sarah RENDELL (sister ?) and George Prior.

Now a small leap with the family. There are the following Parish Register entries which could be the Randalls.

All in St Peter Parish, Canterbury.
Baptism
Henry s/o Thomas & Mary RANDALL 12 June 1814, St Peter’s Lane, Miller
Then burials as follows:-
Henry Randall 9 May 1815 (11 months) St Peter’s Lane
Mary Randall 12 May 1815 (11 years) St Peter’s Lane
Maria Randall 9 June 1815 (8 years) St Peter’s Lane
Thomas Randall 12 April 1826 (48 years) St Mary Northgate
For Helen13 (You may already have this)

I have found a likely baptism record for Ann Streeter in the Parish of Bridge.
The date was 18 February 1879 Ann d/o Richard & Kezia STREETER. Richard was said to be a Labourer and the family from Harbledown. However, the reason the baptism took place elsewhere, was that the family was in the Union House, which happens to be in Bridge!
I leave all this information, for those of the family, to decide on whether or not it fits in with their research.

Regards,
Tony
