Combine flour, salt, paprika, and pepper; mix well, Dredge duckling in flour mixture.
Melt butter in a large skillet over low heat; add melted shortening to equal a 1/4-inch depth in skillet. Heat butter and shortening to 350°; add duckling, and fry until golden brown, turning frequently.
Reduce heat to low; add water. Cover and cook for 30 minutes or until duckling is tender.