I believe that Thomas may have also been from Cawthorne

1653. The entries in the Register from November 1653 to the end of the year on March 24th comprise 11 births and 4 burials. Among the names are found those of Addie, Moakeson, Clough, Greene, Dickson, Longley, Fawley - the first two of these names being among those of the Poll Tax of 1379.

Will and probate of Thomas Fawley of Cawthorne, Yorks., yeoman
SpSt/149/17 1699

These documents are held at Sheffield Archives

Contents:
As follows.
(1) to his 4 younger children £40, viz. £10 each to Joshua, Robert,
Elizabeth and Sarah, to be paid 2 years after his death.
(2) to his son William Burgon 1/-.
(3) to Elizabeth and Robert Fawley, children of Timothy Fawley, 12 pence each.
(4) to his son John, all his houses and lands.
Will dated 27 Mar 1699.
Probate granted 28 Jul 1699.

Section 6 Paving, south side of Church. Flat stone with border of grape vines, the top of which forms a semi-circle round first three lines.
Here / Lyeth Interred the / Body of John FAWLEY / late of Bromerley who / Departed this life the 18th day of / May Ano. Dom. 1712. / Aged 74 years / and six months. / Here also on ye North Side / of this stone was interred the / Body of Eleanor, wife of John / FAWLEY on ye 27th of May in ye / 85th year of her Age Ano. Dom. 1729. / Here was interred the Body / of Timothy FALLEY, late of Ba- / rnby and son of John FAW- / LEY, he Departed this life the 22nd / day of March 1736 Aged 62 years. / Here also Lieth the Body of Elizabeth, / the Wife of Timothy FAWLEY, she died / ye 11th of October 1715 Aged 68 Years.

Section 6 Flat stone. At ye South / side of this stone / Lyeth the Body of Grace / the Second wife of John / FAWLEY. She Departed this / Life the 1st Day of Nov- / vember Ano. Dom. 1758 / Aged 69 Years. / Here also Lyeth interred / the Body of John FAWLEY / late of Barnby he Depart- / ed this life the 21st Day / December Anno Domini / 1760 in the 59th Year of / his Age. John, the son of Chris- / topher and Sarah / GREEN who died 3rd / March 1773 aged 7 / Years / Also Christopher GREEN / who died September 26th / 1781 aged 42 years. / Also Sarah his wife / who died December 23rd / 1803 aged 70 Years. Sarah / GREEN who died 3rd / March 1773 aged 7 / Years / Also Here / Lyeth Interred / The Body of Martha / ye wife of John FAWLEY / of Barnby who Depart- / ed this life the 6th day / of September Ano. Dom. 1742 in the 36 Year of / her Age / At the North side of / these stones lyeth the / Body of Timothy ye Son of John FAWLEY of Barnby, / he departed this life the / 27th day of September Ano. / Dom. 1759 in the 23rd Year / of his Age.

Section 6 Flat stone, chain decoration, with semi-circle at head. Cracked in the middle.
Thomas / GAWTHORPE, late of / Cawthorne, was Buried / the 4th day of October / 1684 / In the 88th Year of his age. / Here lyeth interred the Body of Jos- / hua the son of John STREET who de- / parted this life the 20th day of May / 1722 / in the 28th Year of his age. / For I know that my Redeemer liveth and / that we shall stand at the latter day Upon / the earth. / And though after my skin worms de- / stroy this body, Yet in my life shall I / see God. / At the north side of this stone lyeth / interred the body of Hannah the wife / of John STREETE. She Departed this life / the six't day of Aprill A'o. D'ni. 1729. / Also Elizabeth STREETE. She died / March the 7th 1775 in ye 90th Year / of her Age


http://www.barnsleyfhs.co.uk/cawthornemi6.htm

• Married: 23 Dec 1707 in All Saints Church, Cawthorne, Barnsley, South Yorkshire, England

1. JOHANESS "JOHN' FAWLEY b: Abt 31 Dec 1719 in possibly Yorkshire, England

• Married: 31 Jan 1738 in Cawthorne, Yorkshire, Barnsley, England