Preheat oven to 350º. Whisk eggs, pumpkin, sugar, oil (melted lard), and vanilla until thoroughly combined.
Add flour, baking powder, baking soda, salt, and spices. Mix until smooth.
Spread cake batter into an ungreased half sheet pan (jelly roll pan).
Bake for 18-25 minutes, or until toothpick inserted comes out clean. Be sure to check starting at the 18 minute mark.
Cool completely on baking rack.
To make the frosting: Beat the cream cheese, butter, and vanilla until fluffy. Add powdered sugar, a cup at a time, beating well after each cup. Beat until all sugar is combined and frosting is light, fluffy, and smooth. Spread evenly over the cake. Enjoy!