Here are some words that are close to being homonyms of "hour", but don't quite fit the definition:
* Our: This word is pronounced the same as "hour", but it's spelled differently.
* Our's: This is the possessive form of "our" and sounds similar to "hour", but the spelling is distinct.
So, while there isn't a true homonym, "our" and "our's" are the closest words in terms of sound and meaning.