Is Unclaimed Property Legit? Asks For My SSN

Hey guys,

So I saw online a mention of unclaimed property. I looked it up for my state (Arizona) and wouldn’t you know it there was a .gov website. The website I went to is I searched up some old cities I lived in and found a listing for my mom who is deceased. I was curious so I tried the claim option and it went to another website, That website asked for some personal info, my social, and my SSN. I’m conflicted. This is directly linked from what seems to be a .gov website? But I always knew giving my SSN out was sketchy. Does this exist legitimately? Is there a govt. office I can go to and do this in person officially? Thanks for the help.