All 3 Uses of

egotistical
in
To the Lighthouse

He is petty, selfish, vain, egotistical; he is spoilt; he is a tyrant; he wears Mrs. Ramsay to death; but he has what you (she addressed Mr. Bankes) have not; a fiery unworldliness; he knows nothing about trifles; he loves dogs and his children.†
Part 1 *

egotistical = conceited and self-centered

So boasting of her capacity to surround and protect, there was scarcely a shell of herself left for her to know herself by; all was so lavished and spent; and James, as he stood stiff between her knees, felt her rise in a rosy-flowered fruit tree laid with leaves and dancing boughs into which the beak of brass, the arid scimitar of his father, the egotistical man, plunged and smote, demanding sympathy.†
Part 1