telegrapher vs telegraphist

telegrapher and telegraphist both are nouns.

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

As nouns, telegrapher and telegraphist are synonyms defined as:

telegrapher and telegraphist: someone who transmits messages by telegraph

Other synonyms of telegrapher include telegraph operator.

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