hope vs hopefulness

hope and hopefulness both are nouns.

Word	Noun	Adjective	Verb	Adverb
hope	Yes	No	Yes	No
hopefulness	Yes	No	No	No

As nouns, hopefulness is a hyponym of hope; that is, hopefulness is a word with a more specific, narrower meaning than hope:

Other hyponyms of hope include encouragement, optimism.

hope (noun)	hopefulness (noun)
one of the three Christian virtues	the feeling you have when you have hope
grounds for feeling hopeful about the future	full of hope
the general feeling that some desire will be fulfilled
a specific instance of feeling hopeful
someone (or something) on which expectations are centered

hope (verb)	hopefulness (verb)
intend with some possibility of fulfilment
be optimistic; be full of hope; have hopes
expect and wish