liking vs feeling

liking and feeling both are nouns.

Word	Noun	Adjective	Verb	Adverb
liking	Yes	No	No	No
feeling	Yes	No	No	No

As nouns, feeling is a hypernym of liking; that is, feeling is a word with a broader meaning than liking:

liking (noun)	feeling (noun)
a feeling of pleasure and enjoyment	the experiencing of affective and emotional states
	an intuitive understanding of something
	a physical sensation that you experience
	the sensation produced by pressure receptors in the skin
	a vague idea in which some confidence is placed
	the general atmosphere of a place or situation and the effect that it has on people