In a bowl, beat cream cheese and butter until smooth. Add sugar and coconut. Refrigerate for 1-1/2 hours or until easy to handle. Using hands dusted with confectioners' sugar, mold rounded tablespoonfuls of coconut mixture into egg shapes. Place on a waxed paper-lined baking sheet. Freeze for 2 hours or until slightly firm.
Melt chocolate chips and shortening. Remove eggs from the freezer a few at a time; dip into chocolate mixture until completely coated. Return to waxed paper; refrigerate until hardened. Store in the refrigerator.
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