legitimate vs rightful

legitimate and rightful both are adjectives.

Word	Noun	Adjective	Verb	Adverb
legitimate	No	Yes	Yes	No
rightful	No	Yes	No	No

legitimate (adjective)	rightful (adjective)
of marriages and offspring; recognized as lawful	legally valid
in accordance with recognized or accepted standards or principles	having a legally established claim
authorized, sanctioned by, or in accordance with law
based on known statements or events or conditions

legitimate (verb)	rightful (verb)
make (an illegitimate child) legitimate; declare the legitimacy of (someone)
show or affirm to be just and legitimate
make legal