Mix together the mashed figs and Grand Marnier. Set aside.
In a large mixing bowl, combine the evaporated milk, sugar, half-and-half and vanilla. Whisk to dissolve the sugar. Beat the eggs in a separate bowl, then add to the milk mixture. Stir to mix well. Add the fig mixture and stir to mix. Pour into the ice cream freezer and freezer according to manufacturer's directions.
Makes about 2 quarts.