Family Search does lists a number of WALKER baptisms at Chipping Campden early 17th century, which include...
Father: Peter/Peeter WALKERPeter : 12 February 1617/12 March 1617
WALKER : 28 April 1618
Grizigon : 18 April 1620
Father: William/Will WALKERJoseph : 31 January 1629
Thomas : 23 November 1634William: 23 December 1635
Thomas : 12 August 1638John : 3 May 1640
Mary : 28 April 1622
William : 13 June 1624
(Ancestry also has baptism of Richard WALKER son of William WALKER 17 November 1644 - with Godfathers: Richard MOLEY? Izack SURY? and Godmother: Margery RANDAL
and a Thomas WALKER buried 19 September 1644 at Chipping Campden.
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Looking at Ancestry : Records for Chipping Campden start at 1616: later baptisms quote Godparents names
Peter WALKER was having children bapised at Chipping Campden - from 12 March 1617
and John WALKER from 28 April 1622 (daughter, Mary) and Jozeph WALKER - 31 January 1629.
Men in Armour for Gloucestershire 1608 (lists over 20,000 men)
http://www.coaley.netHad a quick look for a Peter WALKER in
Chipping Campden and Barringtonand for Chipping Campden and Barrington
Peter WALKER labourer, A40 - lower stature
which means he was aged about 40 - and of lower stature
and a
Thomas WALKER A40 husbandman - Tallest Stature (fit to make a Pikeman) ****
If you look at the Help Page: as Peter was of lower stature - he was 'fit to serve with a caliver'
also at Chipping Campden and Barrington
Thomas WARTER - A60 - Carpenter*** as family names usually play an important part, William had two sons named Thomas
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Ancestry/Gloucestershire Archives lists a 6 Walker Wills for Chipping Campden.