This is from my mom's (used, falling apart BH&G cookbook) probably 1955, the year her and dad were married. I've not made this but this is how it is printed in the book! Maybe this is close to the one you want
Applesauce Cake
1/2 c. shortening
1 1/2 c. sugar
2 beaten eggs
1 c. thick, unsweetened applesauce
2 c. flour
1/4 tsp. salt
1 tsp. baking powder
1/2 tsp. baking soda
1 tsp. cinnamon
1/2 tsp. cloves
1 c. chopped, seeded raisins
Thoroughly cream shortening and sugar; add eggs and beat well. Add applesauce, then sifted dry ingredients. Beat smooth and fold in raisins. Bake in waxed-paper-lined 8 inch square pan in 350* oven for 45 to 60 minutes. Serve plain or frosted. This cake will remain moist several days in closely covered container.