If you can get into Geni (as you must have, to be able to post this?) then you should be able to add your new email address on the Account Settings / Email & Password page: https://www.geni.com/account_settings/email_password
Once you confirm the email address (by clicking the link in the email it will automatically send you), you'll be able to make that address your primary.
Mike at Geni
Is this your other profile: Private User?
If so you can send Mike Stangel a message about which email you used to confirm that you know the details and he can probably merge it with the account you are using now.
Since it is a long time that account was accessed you could also ask if other invited family group members of that profile can login with their account to see if they can re-invite you with your current email address.
Bjørn is absolutely correct, I'd be happy to merge your accounts for you -- just point me in the right direction. :-)
Stepping back, the problem we've created is that users who've both forgotten their password and lost access to their primary email account, have no way to get help from Customer Service (and we haven't built the kind of tools to let you answer security questions, etc. instead). I'll bring this up with the team.