fall vs egress

fall and egress both are nouns.

Word	Noun	Adjective	Verb	Adverb
fall	Yes	No	Yes	No
egress	Yes	No	Yes	No

As verbs, egress is a hypernym of fall; that is, egress is a word with a broader meaning than fall:

Other hypernyms of fall include come forth, come out, emerge, go forth, issue.

fall (noun)	egress (noun)
a sudden drop from an upright position	the act of coming (or going) out; becoming apparent
the act of surrendering (usually under agreed conditions)	(astronomy) the reappearance of a celestial body after an eclipse
a lapse into sin; a loss of innocence or of chastity	the becoming visible
a sudden sharp decrease in some quantity
a free and rapid descent by the force of gravity
a sudden decline in strength or number or importance
when a wrestler's shoulders are forced to the mat
a movement downward
a downward slope or bend
the season when the leaves fall from the trees
the time of day immediately following sunset

fall (verb)	egress (verb)
occur at a specified time or place	come out of
decrease in size, extent, or range
pass suddenly and passively into a state of body or mind
be born, used chiefly of lambs
come out; issue
assume a disappointed or sad expression
begin vigorously
come as if by falling
be cast down
go as if by falling
fall or flow in a certain way
move downward and lower, but not necessarily all the way
move in a specified direction
descend in free fall under the influence of gravity
slope downward
drop oneself to a lower or less erect position
lose an upright position suddenly
to be given by assignment or distribution
be captured
fall to somebody by assignment or lot; passed
come into the possession of
to be given by right or inheritance
be inherited by
lose office or power
yield to temptation or sin
suffer defeat, failure, or ruin
lose one's chastity
die, as in battle or in a hunt
be due
come under, be classified or included
touch or seem as if touching visually or audibly
fall from clouds