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Your SSN should never be on your resume. It should only be provided upon acceptance of a job offer. I think I'd be cautious sending a resume to a fax number and you don't have a company name.
I'm in HR and we use a fax number only when we expect the response to be so overwhelming that my office would not be able to handle the phone calls and walk in traffic. When responding to such an ad, however, I would never give my address until I know who is going to get it and these days an email or cell phone is less traceable to an address than a land phone. Never give your social security number out until an offer of employment has been made.
When faxing your resume, instead of sending your Social Security Number I would just put, "Due to so much identity theft my Social Security number will be provided upon employment." If that's not acceptable, then you really don't want to work for those people. Good Luck!
I have been in this same situation. I didn't have any luck finding the company using reverse phone lookup, but I did find several by doing an internet search using the full fax number and city where business is located.
Janet, perhaps you can use a "reverse number" lookup to find who owns the fax or phone number. I think you can do that on AT&T online directory at the bottom of the page. I hope this helps. http://www.att.com/directory/
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