Both Uses

desolate
in
The Phantom Tollbooth
(Auto-generated)

"Now will you tell me where we are?" asked Tock as he looked around the desolate island.†
p. 168.2 *
I le felt Very lonely and desolate as his thoughts turned far away—to the foolish, lovable bug; to the comforting assurance of Tuck, standing next to him; to the erratic, excitable PIN N E: to little Alec, who, he hoped, would someday reach the ground; to Rhyme and Reason, without whom Wisdom withered; and to the many, many others he would renumber always.†
p. 255.4

Definitions:

(1) (desolate as in: felt desolate)
sad or miserable--and often lonely
(2) (desolate as in: a desolate place)
empty, providing no shelter or sustenance
(3) (desolate as in: desolated the region)
destroyed; or emptied of people; or emptied of most plants and animals
(4) (meaning too rare to warrant focus)