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You won't be allowed to open an account with SSA for your wife unless she is unable to do so. Privacy laws of the last few years have tightened access to SSA records, and made applying for even an online account subject to privacy laws.
You might be able to do everything online, at home. From SSA.gov:
If you currently live in the United States and you need a replacement form SSA-1099 or SSA-1042S, we have a new way for you to get an instant replacement quickly and easily beginning February 1st by:
Using your online my Social Security account. If you don’t already have an account, you can create one online. Go to Sign In or Create an Account. Once you are logged in to your account, select the "Replacement Documents" tab;
Calling us at 1-***-***-**** (TTY 1-***-***-****), Monday through Friday from 7 a.m. to 7 p.m.; or
Contacting your local Social Security office.
https://faq.ssa.gov/link/portal/34011/34019/Article/3706/How-can-I-get-a-form-SSA-1099-1042S-Social-Security-Benefit-Statement is the link to this web page.
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