His forename will be found from the birth register when delivered for his son John.

His baptism transcription:

First name(s) Robert
Last name Boynton
Baptism year 1829
Baptism date 08 Nov 1829
Baptism place Great Driffield
Denomination Anglican
Father's first name(s) Robert
Mother's first name(s) Margaret
Residence Great Driffield
County Yorkshire (East Riding)
Country England
Archive reference PE10/5
Page 140
Archive East Riding Archives & Local Studies Service
Record set Yorkshire Baptisms

The actual record is:

Header: “Baptisms Solemnized in the Parish of Great Driffield in the County of York in the Year 1829”

When: Nov 6th
No: 1118
Child: Robert Son of
Parents: Robert and Margaret
Surname: Boynton
Abode: Great Driffield
Trade: Labourer
Officiant: Geo Allen
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He was not found in the 1961 census, though his son John was then with Robert’s parents, John’s grandparents.

Robert and Mary’s children found in the baptism registers were:

First name(s) Last name Baptism year Father's first name(s)  Mother's first name(s)  Baptism place  County

John Boynton 1854 Robert Mary Burton Agnes  Yorkshire (East Riding)
Hannah Boynton 1856 Robert Mary Burton Agnes  Yorkshire (East Riding)
Ellen Boynton 1858 Robert Mary Burton Agnes  Yorkshire (East Riding)
Tom Boynton 1860 Robert Mary Burrill Burton Agnes  Yorkshire (East Riding)
Margaret Boynton 1861 Robert Mary Burrill Burton Agnes  Yorkshire (East Riding)

Did Mary die after the last birth?
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It is useful to see what censuses he was found to give a steer on when this stopped and he might have died:

1851: Unmarr, with parents and grandfather.
1861, Not found in any census
1871, Mar but to Rachel with their new son and two daus. at Carnaby, Bridlington
1881, Mar but to wife Elizabeth with his son George Robert in Carnaby, Bridlington
1891, Mar to Elizabeth, no children at home in Carnaby Bridlington
1901, Mar to Elizabeth, at Carnaby, Bridlington

I have not found what happened to all the wives as I am only tracing his first son by his first marriage.
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His probable death:

First name(s) ROBERT
Last name BOYNTON
Gender Male
Birth year 1830
Age 73
Death quarter 3
Death year 1903
District Bridlington
County Yorkshire
Volume 9D
Page 225
Country England
Record set England & Wales Deaths 1837-2007
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His burial:

First name(s) Robert
Last name Boynton
Age 73
Birth year 1830
Death year 1903
Burial year 1903
Burial date 16 Aug 1903
Burial place Carnaby
County Yorkshire (East Riding)
Country England
Archive reference E-PE83-7
Page 50
Archive East Riding Archives & Local Studies Service
Record set Yorkshire Burials
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Their marriage transcription:

First name(s) Robert
Last name Boynton
Age 23
Birth year 1830
Residence Thornholme
Marriage year 1853
Marriage date 30 Apr 1853
Marriage place Burton Agnes
Spouse's first name(s) Mary
Spouse's last name Burrell
Spouse's age 26
Spouse's residence Haisthorpe
Father's first name(s) Robert
Father's last name Boynton
Spouse's father's first name(s) Henry
Spouse's father's last name Burrell
County Yorkshire (East Riding)
Country England
Archive reference PE 60/6/1
Page 39
Archive East Riding Archives & Local Studies Service
Record set Yorkshire Marriages
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The image of the parish register page adds:

The place of marriage was: The Parish Church in the Parish of Burton Agnes in the county of York.
The marriage was according to the Rites and Ceremonies of the Established Church after Banns.
The couple were, respectively, Bachelor and Spinster.
Their residences before marriage were, respectively, Thornholme and Haisthorpe.
His job was Labourer, hers was blank.
The fathers of the groom and bride were respectively Carrier and Potter.
The couple both signed the register with their mark, an ‘X’.
The witnesses were James Nicholson and James Buill
The celebrant was John Frewen Moor
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