Pictured Puzzles and Word Play / A Companion to the Twentieth Century Standard Puzzle Book - A. Cyril Pearson

The enigma—

At starting half your income take,
Then for my second write;
And let your table help to make
The total cosy quite.

is solved by Comfortable.

The charade—

My whole is a circle complete,
Beheaded I fall to your feet.
Behead me again and I fry,
Or am baked in a savoury pie.

is solved by Wheel, heel, eel.