Well, there sort of already is a monument to Corbett:
I'm not sure why a specific memorial to Corbett is warranted beyond the above (except perhaps a cenotaph erected in a Kansas cemetery, if one isn't already because his burial place is unknown). He either purposely killed Booth which is murder or he shot Booth in the line of duty something that in and of itself doesn't warrant a memorial.
Also in regards to my earlier question I found Corbett living in Troy, New York in the 1855 New York state census with his wife Susan:
https://www.familysearch.org/ark:/61903/1:1:K63H-249