Nope. Betty Kane was Earth-1 and appeared with the Teen Titans for a bit, who did not exist on Earth-2. At any rate, Betty’s debut did precede Barbara’s.

In current continuity, the Waynes actually DID die in September. (The New 52’s Batman & Robin #1.) This date originates in Batman: Death & the Maidens and an Autumn date is reaffirmed in Nightwing #153.