The only way to know is to have both books side by side as there is no key list in the table of contents as I recall. A few things to keep in mind are:
Are you looking for the true original keys or the keys the songs are mostly played in nowadays? Sometimes you have to go all the way back to an ancient recording or a very old movie or musical to find the true original key as a lot of standards came from cinema and musical theater. Many times the key of an iconic recording will become the new “standard” key.
The Real Book (or any published sheet music for that matter) is not guaranteed to have all songs in original keys. “Ipanema” was mentioned in comments, F in the book, Db on the recording. “Triste” is Bb in the book, A on the recording. “Misty” is in Eb, the Johnny Mathis key in the book (iconic recording) but Errol Garner, the composer played it in a Ab. “Windows” by Chick Corea is Bm but was originally in Bb minor in the Real Book (I believe that one has been corrected). These are just a few examples.
Your “high vocal” book probably contains at least some original keys if the songs were originally performed by a female (or high?) vocalist.