I am looking for any information on the surname Riego.

My GGGgrandfather was Adolfo Garcia Riego whose family was from Asturia, Spain. He came to Cuba as a youngman to fight in the Cuban Independence War (Ten Years War)
He lived in Cuba en la Calle Aguila, Havana. He married Carmen Dominguez.

I am trying to trace the name Riego in Spain.