Thomas Bragdon was born about 1543 in Stratford-upon-Avon, co. Worcester, England. 

Three items that cannot be directly linked to Thomas Bragdon:
1. Albert Bragdon was awarded the Bragdon coat-of-arms and family crest by Queen Elizabeth I.
2. London Marriage Licenses: Bragdon, William and Bennet Julyans, Spinster, of the City of London, gen. lic., 14 October 1574.
3. Parishe of St. James, Clarkenwell, England. Burials: 1 August 1617, Elizabeth, wife of James Bragdon.

The dates used as birth-dates for Thomas' children are their christening dates. 

Children were:

i. Anne Bragdon was born on 6 Apr 1569 in Stratford-upon-Avon, co. Worcester, England.
ii. Elizabeth Bragdon was born about 22 Mar 1573 in Stratford-upon-Avon, co. Worcester, England.
iii. William Bragdon was born on 20 Aug 1580 in Stratford-upon-Avon, co. Worcester, England.
iv. Thomas Bragdon was born on 2 Oct 1583 in Stratford-upon-Avon, co. Worcester, England.
v. Lt. Arthur Bragdon Sr..
vi. Francis Bragdon was born on 24 Apr 1589 in Stratford-upon-Avon, co. Worcester, England. He died on 26 Apr 1589 in Stratford-upon-Avon, co. Worcester, England.
vii. Infant Bragdon was born in 1591 in Stratford-upon-Avon, co. Worcester, England. He died on 4 Sep 1592 in Stratford-upon-Avon, co. Worcester, England.

This information is unverified by me. I have no idea where I got it.