Butter sides of a heavy 2-quart saucepan. In it combine sugars, cream, milk, and butter. Heat over medium heat, stirring constantly, till sugars dissolve and mixture comes to boiling.
Cook to soft ball stage (238*), stirring only if necessarily.
Immediately remove from heat and cool to luke-warm (110*) DO NOT STIR. Add vanilla.
Beat vigorously till candy becomes very thick and starts to lose its gloss.
Quickly stir in nuts and spread in buttered shallow pan.
Score while warm, cut when firm