Yes, ROGERS is a Scrabble word!

Letter values in Scrabble US: R 1, O 1, G 2, E 1, R 1, S 1.

Is it a valid word?

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

United States humorist remembered for his homespun commentary on politics and American society (1879-1935)
United States dancer and film actress who partnered with Fred Astaire (1911-1995)
United States psychologist who developed client-centered therapy (1902-1987)

Also: will rogers, william penn adair rogers, ginger rogers, virginia mcmath, virginia katherine mcmath, carl rogers.