Preheat the oven to 350°F.
Lightly grease a 10" x 5" or 9" x 5" pan.
Mix together molasses, honey, egg white, buttermilk and oil.
Mix flour, bran, sugar, baking soda and salt; add all at once to wet mixture.
Stir in chopped pears and walnuts.
Scoop into pan, and place in the oven.
Bake at 350°F for 60 to 70 minutes, until bread tests done (cake tester inserted in middle of loaf comes out clean).
Cool, then wrap and store at room temperature for 4 days, or freeze for up to 3 months.