You can have multiple accounts for each person of your family, but you have to register this with them. I am not sure how they "validate" it, possibly registering the mac address or something. (correct me if I am wrong)

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We are allowed to have one account for own self. And every person (of your family) should have individual account for them with their unique mail address. And everyone should use different internet service provider (Individual mac address) to access the site and claim faucets. Even using VPN isn't allowed. Freebitco have the system to track user and ban them, if anyone tries to chet their service.
I don't think that freebitcoin and freedogecoin is the website, you said that it was a long time ago so probably you won't be able to recover that coin ~
Do some research before saying anything. Freedoge.co.in was the sister site of freebitco. But they have shut down the site as it wasn't profitable for the team. ’@superpharos’ PM
TheQuin about it, otherwise wait for a while for his reply here. He is the community manager of freebitco. Hopefully he will help you out from this situation.