Preheat oven to 350 degrees F.
In an electric mixer fitted with the paddle attachment, cream together the butter and sugar until just combined, and then add the vanilla. Separately, sift together the flour and salt. With the mixer on low speed, add the flour mixture to the creamed butter and sugar. Mix until the dough starts to come together. Dump on a floured board and roll together into a flat disk. Wrap in plastic wrap and chill for 30 minutes.
Roll the dough into 1 1/4-inch balls. (If you have a scale, they should each weigh 1-ounce.) Dip each ball into the egg wash and then roll it in coconut. Place the balls on an ungreased cookie sheet and press a light indentation into the top of each with your finger. Drop 1/4 teaspoon of jam into each indentation. Bake for 20 to 25 minutes, until the coconut is a golden brown. Cool and serve.