Each profile needs to have its own e-mail address, so if you were hoping to enter the e-mail you use on your profile onto their profile as well, that will not work.
If you know the e-mail address and password they used, you can log in as them and follow Angus's instructions to change the e-mail on their account - tho, if they are not going to use it at all, perhaps it would make more sense to log in as them and close their account - or just make a note so you don't forget the e-mail and password, and leave alone for now.
Putting your e-mail address in is not putting it in as a contact - it is claiming that is the e-mail address of the person who is named in that profile.
Susan, - even if an email does not exist anymore it is still valid as a login to Geni if you remember the password in Geni. When logged in you easily change to a new email in your account settings in the menu under your name in the top right corner of almost every Geni page.
See also http://help.geni.com/entries/20908397-change-e-mail-address
Lois - only the user/manager profile needs an email address.
FYI- I'm not sure if Mom or Dad every claimed their profile. I did send an invitation to them so it is possible, but, at least from what I was told, they never went online. I'm not sure if this was true or not. It may not have been. I know there was interest in the tree I'd created but they weren't overly interested in the more distant relations or stories. I was sorry Dad never followed up on my request - he'd been a History teacher with a phenomenal memory and always had stories about "the old days" and the family. I was hoping he'd save some but he didn't. He was 89 when he passed away in Nov 2012, living alone since Mom died in August.... sorry, I digress. They may have accessed the profile. I don't know. His date of death is on it and that is what matters. I think I can still add information on his profile, which is important to me. Also, I see my .... his cousin Dick has claimed it. Can I claim it too?
When Geni unclaims a profile, the one who added that profile will get it back, and if the claimed profile are managing profiles him/her self the closest relative will inherit those profiles.
For me it sounds like quite a fair automatic rule.
If you want to adjust who is the manager of your nearby profiles you have to discuss that directly with the managers of those, like promoting you to be the primary manager and remove them self.
The only manager removal you have access to yourself is when "strangers", i.e. people outside your own family group, happens to be managers of your close family profiles.
Susan - I did a little more looking, and it looks to me like you ARE a manager of your father's profile (one of three managers, when I clicked on "Contact Profile Manager") - but that Dick is the Primary Manager (his is name showing as Manager when search on your father's name).
If you want to be Primary Manager of your Father's Profile, hopefully you are on good enough terms with Dick for him to do so. Send him a message or talk to him. What he needs to do is go to Manager Options, click Add Manager, and then type in your name -- to some, seems counter-intuitive since you are already a manager - but THEN he will get option to make you Primary Manager. He can do this without removing himself, or he can remove himself. His choice. Tho, again, if you two are on good terms, you can discuss it with him.
@Susan Lucas Vetter You can you use an email account from any computer .. you just need your login and password.
Every Internet providers have a webmail and even if you close your account, many of these providers don't delete your email account (nor your customer account ;-) : more you have customers, more you get value and power).
Try on google: "''provider name''"+webmail and if you your parents login and pass you'll be able to solve the problem by login in Geni with the related email (and ask for password if lost).