From Wikipedia:

John Welsh (1568–1622) was a Scottish Presbyterian leader.

He was born in Dumfriesshire and, after a wayward youth, attended the University of Edinburgh and obtained his MA in 1588. He became a minister in Selkirk, and prior to 1596 and leaving Selkirk, Rev. Welsh married Elizabeth, a daughter of John Knox. He rivaled his deceased father-in-law in genius, piety and zeal.

Welsh later ministered in Kirkcudbright and in Ayr, where he spent five years and with which he was ever afterward associated. His preaching resulted in his imprisonment on the orders of King James VI of Scotland, and in 1606 he was exiled to France, where he continued his activities for many years. His grandson was the Covenanters' leader, John Welsh of Irongray.

The Children Of John Of Ayr Were:

1. William,Who Studied Medicine And Was Accidentally Killed In The Netherlands.He Left One Daughter,Who Died Single(1633).
2. Nathaniel,A Minor At His Mothers Death,in 1625 Was Lost At Sea.The Ship Was Wrecked On One Of The Barren Coast Islands.His Body Was Afterwards Found In The Attitude Of Prayer Where He Had Starved To Death After Having Reached The Shore. [No known offspring.]
3. A Daughter,Who Died In 1614 In France While A Child.
4. Rev.Josias Welch, Of Temple Patrick.
5. Louise,Born In Jonsac,France,1613,Where Her Father Was Many Years In Exile.She Died Unwed.

http://www.genealogy.com/forum/surnames/topics/welch/4416/

Note: No son John.

"Louise" is sometimes identified with the Lucy Welch who married Rev. James Witherspoon, but there is no primary documentation to support this.

http://wc.rootsweb.ancestry.com/cgi-bin/igm.cgi?op=GET&db=joansovel...

Name: John (of Ayr) II Welsh

• Sex: M
• Birth: 1568 in Irongray, Ayrshire, Scotland
• Death: 2 APR 1622 in London, England
• Father: John Welsh b: 1520 in Dumfries, Dumfries-shire, Scotland
• Mother: Marion Grier b: in Dunscore, Dunfrieshire, Scotland
• Wife: Elizabeth Knox b: 1570 in Irongray, Kincardineshire, Scotland. Married: 1594 in Selkirk, England

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http://www.allshousefamily.org/getperson.php?personID=P34200&tree=A...

Name John of Ayr Welch Suffix Rev Born 1568 Nithsdale, Dunscove, Dunfrieshire, Scotland (Irongray, Ayrshire, Scotland) Gender Male Birth 1568 Dunscore, Dumfries-shire, Scotland [1, 2, 3] Married Ayr, Ayr, Scotland [4, 5] Died 2 Apr 1622 London, Middlesex, England [1, 3, 4, 6] Buried 21 Oct 1622 Bishopsgate, Greater London, England

Father John "Laird of Colliston" Welch, Rev, b. 1520, Colliston, Dunscore, Dumfries, Scotland , d. 5 Aug 1602, Dunscore, Dumfries-shire, Scotland Mother Marian Grier, b. 1547, Irongray, Ayrshire, Scotland , d. 1625, Ireland

Family Elizabeth Knox, b. 1570, Irongray, Kincardineshire, Scotland , d. Jan 1622, Glasgow, Lanarkshire, Scotland Married 1594 Collinton, Scotland

Children

	1. Thomas Welch  [Natural]

+ 2. Josias Welch, Professor, b. 1596, Ayr, Ayrshire, Scotland , d. 23 Jun 1634, Antrim, Antrim, Ireland

	3. Nathaniel Welch,   b. 1597, England,   d. Sea, Sulawesi Tengah, Indonesia

	4. Daughter Welch,   b. 1597, England    d. 10 Sep 1614, Jonsac, France 

+ 5. John Welch, III, b. 12 Jul 1600, Peterborough, Northamptonshire, England , d. 1666, St Giles Cripplegate, London, England

	6. William Welch,   b. 1602, Jonsac, France ,   d. 1622, Netherlands 

+ 7. Lucy Welch, b. 20 May 1613, Jonsac, France, d. 1650, Glasgow, Lanarkshire, Scotland

+ 8. William Welch, b. 1627, Jonsac, France , d. 1643, Netherlands

+ 9. Helen Welch, b. 1644, Brighouse, Scotland , d. 1702, Newburg, Preston, West Virginia, United States

Sources

1. [S1] Web: Find A Grave, (www.findagrave.com).

2. [S-552527479] Scottish Covenanters Index, Drown, Isabelle McLean, comp.

3. [S-552527489] Dictionary of National Biography, Volumes 1-20, 22.

4. [S-552527482] UK, Extracted Probate Records, 1269-1975.

5. [S-549516692] Ayrshire, Scotland, Parish and Probate Records.

6. [S-567700640] London, England, Baptisms, Marriages and Burials, 1538-1812, London Metropolitan Archives, St Andrew Holborn, Register of burials, 1558 - 1623, P69/AND2/A/010/MS06673, Item 001.