All 3 Uses of

correspond
in
I Know Why the Caged Bird Sings

Bailey was obviously always going to be too small to be an athlete, so which concrete angel glued to what country seat had decided that if my brother wanted to become a lawyer he had to first pay penance for his skin by picking cotton and hoeing corn and studying correspondence books at night for twenty years?
p. 179.9 *

correspondence = done from afar (by mailing letters, reports, etc.)

Daddy Bailey had a girl friend, who had begun corresponding with me some months before, and she was to meet me at the train.
p. 226.5 *

corresponding = exchanging letters or messages

She had such a need to believe in him that even though we corresponded at a time when I loved the multi-syllabic words and convoluted sentences she had been able to ignore the obvious.†
p. 227.5 *

Definitions:

(1) (correspond as in: corresponding time period)
connect or fit together by being equivalent, proportionate, or matched

(Two things are equivalent if they have the same or very similar value, purpose, or result.)
(2) (correspond as in: corresponding by email)
communicate -- typically by writing letters or email

A corresponding secretary is an officer of an organization who is responsible for managing the organization's correspondence and keeping a record of it.
(3) (correspondence as in: a correspondence course)
done from afar

For example, a corresponding member or a correspondence course.

This sense of corresponding arose because people who lived in distant cities and could not be present for meetings, could communicate by sending written communications.
(4) (correspondent as in: foreign correspondent of the paper)
a reporter or other representative -- typically from a foreign country or with a particular expertise