Gravity forms is a great option - you might also be able to pull this off with WP Forms using their conditional logic for notifications, but I’m not 100% sure if you can limit the information sent to each person (e.g. Email1 and Email2 might both get the full name, number and SSN). Maybe send them a pre-sale question to find out (https://wpforms.com/contact/)?
Oh - and ARForms can do this as well. You’d just have to setup your form submission notifications using ARForrms’ shortcodes so certain form fielsd go to specific people.