Hugh Hamilton married Rosanna Boyd, daughter of Adam Boyd, and had issue:
Adam Boyd Hamilton 1808 – 1896
Alexander Hamilton 1810 – 1873
John Hamilton 1815 – 1896
Thomas Allen Hamilton 1818 – 1874
Margaret Hamilton 1820 – 1876
Andrew Mitchel Hamilton 1822 –
William Hamilton 1824 – 1933
Catherine Jane Hamilton 1826 – 1826
Hugh Hamilton 1828 – 1830

In his genealogy, "Hamilton Family Record" (1874), A. Boyd Hamilton gave the lineage of his great-grandfather John Hamilton, who came from County Down, Ireland to Pennsylvania in 1729 with his uncle Hance Hamilton who led a colony of Scots-Irish settlers to Marsh Creek in Adams County. The book traces John Hamilton the immigrant to his great-great-grandfather John Hamilton of Hamilton's Bawn (father of Sir Hans Hamilton of Hamilton's Bawn), the son of Rev. Hans Hamilton who was a grandson of James Hamilton 3rd laird of Raploch and his wife Isabel Weir of Blackwood, Lanarkshire.
The family bible of A. Boyd Hamilton's great-grandfather John Hamilton, nephew of Hance Hamilton, contains on its flyleaf "We landed 1729," as cited in "Gilmor, Hanna, Scott, Hamilton" (1932) by Elizabeth Gilmore, p.174. Also ref., The Boyd Family by Katherine Cox Gottschalk (1935), pp.19-20,45,etc.

1. James Hamilton, 3rd laird of Raploch
+ Isabel Weir of Blackwood, daughter of James Weir and Lady Euphemia Hamilton (sister of James Hamilton, 2nd Duke of Chatelherault, Marquess, & 5th-great-granddaughter of King Edward III)
2. Archibald Hamilton 5th laird of Raploch
+ Marion Ogilvy; but his natural son (later legitimized):
3. Rev. Hans Hamilton 1536-1606/8 (vicar of Dunlop)
+ Janet/Jonet Denham

4. James Hamilton (1560-1644), Viscount Claneboye
4. Archibald Hamilton of Halcraig
4. Gavin Hamilton, burgess of Glasgow & merchant of Ballygally, Ireland;
+ Helen Dunlop
5 Rev. James (John) Hamilton 1601-1666; captured July 1644 along with Rev. John Wier (Weir) by Alastair Macdonald & imprisoned at Mingary Castle, released Sept. (Weir died)

4. John Hamilton "of Coronary And Monella" (aka "of Hamilton's Bawn")
+ Sarah Brabazon/Brabason:
5. Sir HANS HAMILTON, Baronet, of HAMILTON'S BAWN,
father of:
6. sir Hans Hamilton, 2nd/last baronet of Hamilton's Bawn b. 1673,d. 1729/30

5 Robert 1616 (brother of Sir Hans Hamilton, Baronet, above)
6 John 1645
7 James 1670
+ Katherine
8 Col. Hance Hamilton to Pennsylvania 1729, said to be father of:
9a Sarah Hamilton
+ Alexander McKean (McCain)
10 Robert McCain of PA. (father of Hugh, Alexander, etc)
9b Mary Hamilton
+ Hugh McKean (McCain)
9c Col. Hance Hamilton (1721-1772)
10b Thomas Hamilton
+ Mary McKean/McCain

A variant lineage appears in The Bard Family (1908) by G.O. Seilhamer:
5 Francis Hamilton of Tullybrick (brother of Sir Hans Hamilton, Baronet)
+ Elizabeth Echlin
6 James (Hans) Hamilton
+ Margaret Morris (or Mary Ann Wren)
7 Col. Hance Hamilton to Pennsylvania

7 John Hamilton
+ Isabella Potter
8 Katharine Hamilton b1737 Tyrone d1820 Cincinnati
+(1763) Gen. Chambers (from Kittochintinny Magazine vol.1, no. 2 (April 1905), p.152)
8 Capt John Hamilton
+ Margaret Alexander
9 Hugh Hamilton
+ Rosanna Boyd
10 Adam Boyd Hamilton

The son of Rev. Hans Hamilton was induced along with others to remove from Scotland to the plantations of Antrim by Claud Hamilton, Lord Paisley, whose son James Hamiton married Marianna Boyd, daughter of sir Thomas Boyd, 6th Lord Boyd, and father of James, Duke of Abercorn. However, Claud Hamilton was only a 5th cousin of James Hamilton who married Isabel Weir. So they were not closely related. Claud was the son of James, 2nd earl of Arran.