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Alumni Oxoniensis has this on this Thomas in vol I, p. 174:

“Breedon, Thomas, s. Zacheus, of South Morton, Berks, cler.  LINCOLN COLLEGE, matric 14 March 1691-2, aged 16; B.A, 1695, M.A. 1698, rector of Pangbourne, Berks, 1704.”

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From Victoria County History of Berks, Vol 3, pp. 306-9:

“[John Davis] He sold the manor in 1671 to John Breedon, (fn. 32) who left it by his will (dated 1685) to his nephew, another John Breedon, (fn. 33) Sheriff of Berkshire in 1700. (fn. 34) The latter died in 1710–11, and was succeeded by his kinsman John Breedon, the son of the Rev. Thomas Breedon, rector of Pangbourne (fn. 35) The last-named John died in 1776, (fn. 36) and the manor passed to his son John Breedon, M.D. (fn. 37) Dr. Breedon died without heirs male, and by his father's will the Rev. John Symonds became the next lord of the manor. (fn. 38) He assumed the name of Breedon, and was living at Bere Court in 1803. (fn. 39) Before 1821 he was succeeded by another John Symonds Breedon, (fn. 40) and in 1847 Edward Augustus Breedon was lord of the manor. (fn. 41) He died before 1883, when Mrs. Breedon owned the manor. It was bought from the Breedons by Reginald de la Bere, who sold it in 1904 to Mr. George Booth Tate, the present lord of the manor. (fn. 42)”

This passage includes the Breedon arms of: Sable a lion argent with eight passion nails or in the border.  [the nail in the border is illustrated more as in orle with no separate border colour.

The above make it seem that the male Breedon lines died out.  I know not about the female ones.
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Sarum Marriage Licence Bonds, transcribed and on FindMyPast:

First name(s) JANE
Last name LYBBE
Birth year -
Bond day 26
Bond month May
Bond year 1704
Marriage year 1704
Place CHECKENDON
Marriage place Pangbourne or Yattendon
Groom's first name(s) Thomas
Groom's last name BREEDON
Groom's age -
Groom's occupation clerk
Groom's parish Pangbourne
Groom's county Berkshire,England
Bride's first name(s) Jane
Bride's last name LYBBE
Bride's age -
Bride's marital status sp
Bride's parish Checkendon
Bride's county Oxfordshire,England
Bondsman 1 LYBBE Henry,Whitchurch,Oxon
Jurisdiction The Bishop of Salisbury in Wiltshire and Berkshire
County Oxfordshire
Country England
Record set Sarum Marriage Licence Bonds

Henry was probably the bondsman as Jane’s father Antony had died the year before.
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And from the Barks FHS marriage indices:

First name(s)           Jane
Last name               Lybbe
Birth year              -
Residence               Checkendon, Oxon
Marriage year           1704
Marriage date           15 Jun 1704
Church                  St James the Less
Place                   Pangbourne
County                  Berkshire
Country                 England
Spouse's first name(s). Thomas
Spouse's last name.     Breedon
Spouse's residence      otp
Licence or banns        [by Banns]
Record set              Berkshire Marriages Index
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