Teaser 2900: An ancestral equation

From The Sunday Times, 22nd April 2018 [link]

I recently discovered a 16th-century ancestor called David, which happens to be my maiden name. (I never really liked Bricket, even when pronounced in the French way). I have always been partial to word arithmetic (or cryptarithms) and the other day I found a solution to this one:


When eight distinct digits are substituted for the eight letters and no number starts with zero, the equation holds. Amazingly the solution gave me more information about my ancestor. MY turned out to be his age when he died and NAME was the year he was born.

What was that year?