Hi
There is some confusion - in fact there appear to be two Boswell Parkers, both from the Old Sodbury/Little Sodbury region. The first appears in a "Millennium File" (Source Information:
Heritage Consulting. Millennium File [database on-line]. Provo, UT, USA: Ancestry.com Operations Inc, 2003. Original data: Heritage Consulting. The Millennium File. Salt Lake City, UT, USA: Heritage Consulting.) This states that Boswell Parker was born on 26 Dec, 1669 and died in Little Sodbury on 18 Dec 1737. His father was Thomas Parker, he had a spouse called Sarah, and a daughter called Sarah. However - from Boyd's Marriage Index 1538 - 1840, a dataset on Find My Past - a man called Bosw
all Parker married Jane Isles in 1745 at Old Sodbury.
I am descended from Susannah Parker, who was baptised at Little Sodbury on 14 Feb, 1746. She would marry John Anstee at St Peter's Church on Wapley Hill on 5 April, 1772. Her 1746 baptism record states that her father is Boswell Parker and her mother is called Jane.
(Source Information: Ancestry.com. England, Select Births and Christenings, 1538-1975 [database on-line]. Provo, UT, USA: Ancestry.com Operations, Inc., 2014. Original data: England, Births and Christenings, 1538-1975. Salt Lake City, Utah: FamilySearch, 2013. FHL Film Number: 427775)
It seems certain that Susannah's father Boswell Parker is the son of Boswall Parker (1669 - 1737).
The original and unusual first name Boswell Parker probably derives from the name of the vicar at the Wycliffe Chapel in Little Sodbury. According to Gloucestershire Notes and Queries, on May 10, 1661 George Boswell, Minister of Little Sodbury was married (spouse unnamed), and on July 23, 1665 a widow called Mary Boswell was married to an unknown partner.
http://archive.org/stream/gloucestershiren03londuoft/gloucestershiren03londuoft_djvu.txtI cannot find further information about other people with the surname Boswell in Little Sodbury - but it is not unheard of for a child to be named after a vicar/minister. Anyway, that is just supposition.
What seems clear is that there is a Boswell Parker who lived from 1669 to 1737, around Little Sodbury), and another Boswell who (according to unsourced family trees) seems to have been born in 1717, and who married Jane Isles in 1745 at Old Sodbury, and who was the father of Susannah Parker/Anstee (b. 1746, buried on November 23, 1796 at St Peter's Church in Dirham & Hinton parish, South Gloucestershire - adjoining Dyrham Park). I hope these notes are helpful.