Gradually stir half of the hot mixture into beaten egg yolks. Return to rest of mixture in double boiler; cook over boiling water, stirring occasionally, 5 minutes.
Remove from heat; stir in vanilla. Pour chocolate filling into baked pie shell.
Refrigerate until well chilled, at least 3 hours. If desired, put piece of wax paper over top of pie so a film does not form on it.
The original recipe calls for a layer of whipped cream to be spread on top. We traditionally just served whipped cream on the side. If desired, pie could also be topped with meringue (see Lemon Meringue Pie recipe).