telegraphist vs telegrapher

telegraphist and telegrapher both are nouns.

Word	Noun	Adjective	Verb	Adverb
telegraphist	Yes	No	No	No
telegrapher	Yes	No	No	No

As nouns, telegraphist and telegrapher are synonyms defined as:

telegraphist and telegrapher: someone who transmits messages by telegraph

Other synonyms of telegraphist include telegraph operator.

telegraphist (noun)	telegrapher (noun)
someone who transmits messages by telegraph	someone who transmits messages by telegraph