Grab a phone with IDD and call Apple US customer service and ask to have the Apple Cloud password reset. Make sure you have your wife nearby in case they ask some questions about the account.

The iPhone will always be attached that that profile's account regardless of how many factory resets you do. (It wasn't always like that though) Hassle sya kung nakalimutan mo password mo but it's a good security feature where the iPhone is quite useless without the matching account.