George Barne married Anne Gerrard, daughter of Sir William Garrard, who was Lord Mayor of London in 1555.

They had nine children:

1. Sir William Barne, who married Anne, daughter of the Dr. Edwin Sandys, Archbishop of York
2. George Barne
3. Francis Barne
4. Thomas Barne
5. John Barne
6. Mark Barne
7. Peter Barne
8. Richard Barne, who married Elizabeth, daughter of Sir Francis Aungier, 1st Baron Aungier of Longford
9. Anne Barne, who married Sir Francis Aungier, 1st Baron Aungier of Longford

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1. A genealogical and heraldic history of the extinct and dormant baronetcies ... By John Burke, John Bernard Burke (sir.). Page 214