Which preposition to use with lateness

of Occurrences 86%

The lateness of the hour seemed to strike her with fresh terror, "Shade, come along of me," she pleaded.

at Occurrences 1%

Mrs. Gribble's timid reminders concerning the flight of time and consequent fines for lateness at work fell on deaf ears.

by Occurrences 1%

He had accounted for his lateness by a story quite inconsistent with these facts.

with Occurrences 1%

He said that his great grief now was the lateness with which enlightenment had come, leaving him so little time to prepare his soul for death.

Which preposition to use with  lateness