Yes, NELSONS is a Scrabble word!

Letter values in Scrabble US: N 1, E 1, L 1, S 1, O 1, N 1, S 1.

Is it a valid word?

NELSONS is a valid word in the official Scrabble dictionary (US), the UK Scrabble Dictionary and Words with Friends (ENABLE).

English admiral who defeated the French fleets of Napoleon but was mortally wounded at Trafalgar (1758-1805)
any of several wrestling holds in which an arm is passed under the opponent's arm from behind and the hand exerts pressure on the back of the neck

Also: horatio nelson, viscount nelson, admiral nelson, lord nelson.