supporter vs surety

supporter and surety both are nouns.

Word	Noun	Adjective	Verb	Adverb
supporter	Yes	No	No	No
surety	Yes	No	No	No

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

supporter (noun)	surety (noun)
a band (usually elastic) worn around the leg to hold up a stocking (or around the arm to hold up a sleeve)	something clearly established
a support for the genitals worn by men engaging in strenuous exercise	a guarantee that an obligation will be met
a person who backs a politician or a team etc.	one who provides a warrant or guarantee to another
a person who contributes to the fulfillment of a need or furtherance of an effort or purpose	a prisoner who is held by one party to insure that another party will meet specified terms
someone who supports or champions something	property that your creditor can claim in case you default on your obligation