Years ago I got the baptisms/marriages/burials for Mead in Bucks, 1538-1638 from Bucks FHS.
https://sites.google.com/site/meadfamilyhistory/home/counties/bucks/baptismshttps://sites.google.com/site/meadfamilyhistory/home/counties/bucks/marriageshttps://sites.google.com/site/meadfamilyhistory/home/counties/bucks/burialsThese are the John Meads born 1625 - 1638:
Monks Risborough St Dunstan
2 Feb 1625 John son of John MEDE of Whitleefe
18 Jan 1633 John filius of Johan MEADE of White Cleefe
(probably one of these two died young: 17 May 1636 John MEAD son of ... of White Cleefe)
Princes Risborough St Mary
16 Jun 1633 John son of John MEADE
17 Dec 1626 John son of William MEAD
Soulbury All Saints
20 May 1632 Johannis filius Richardi MEADE
Stewkley St Michael & All Saints
Jul 1633 John son of John & Ann MEADE
6 Jul 1634 John son of John & Ann MEAD (possible repetition?)
The closest match looks like John Mead of Whiteleaf, Monks Risborough in 1633.
There’s a will of William Mede of Whiteleaf, Monks Risborough, made 1556, died 1561
He mentions his wife Anysse/Agnes and two children, William and Anne. William’s marriage and children:
Feb 1587 27 MEEDE William & BAMPTON Alis
28 Dec 1587 John son of William MEADE
8 May 1589 Elizabeth daughter of Wm MEEDE
6 Jun 1591 William son of Wm MEAD
25 Mar 1596 Richard son of William MEADE
14 May 1598 Henrie son of Wm MEAD
30 Jan 1603 Dorryty daughter of Wlm MEAD
There are two marriages for John Mead in Monks Risborough:
5 Oct 1607 MEADE Johne & PARIS Alis
2 Feb 1620 MEAD John & CHAFFNEY Mabell
I don't know if this would be two different John Meads or a second marriage. Probably a second marriage, since there's a burial in Monks Risborough: 25 Aug 1619 Goodye MEADE wife of John.
There was also a baptism 2 Feb 1603 John son of Georg MEAD in Monks Risborough. There's a will of George Mead of Whiteleaf in 1640, but he doesn't mention John. Possibly he died young.