William was born in 1424 in Barwick Yorkshire. His parents were John Gascoigne and Isabella Heton.
William married Jane Beckwith in 1442 in Clint, Yorkshire. Jeanetta (Jane) Beckwith born about 1428 daughter of Sir William Beckwith of Clint, Yorks. They had 7 children most of whom were born at Lasingcroft, namely:-
- John 1446-1472
- William 1448 - 1520
- Thomas 1450-1509,
- Mary b1452
- Margaret b1454
- Joan b1456
- Isabella b1458
William died in 1476, in Yorkshire.