You can rplace your card for free if it is lost or stolen however you many not need to get a replacement card if you know your social security number.
I need a social security number for other purposes than work
only noncitizens who have permission to work can apply for a social security number. if you do not have premission to work but need a social security number for other purposes there are exceptions
Unfortunately, no relevant information is found.
Will I be asked to see current DHS documents?
Acceptable documents include a permanent resident card
I need to know what original documents I'll need?   What documents would you require if my child lived outside the United States for an extended period of time?
We would need to see a current/previous passport or school/employment records for the child.
Is there other steps to take if I don't have the necessary documentation?
Yes, we can ask to see other current documents that display your date of birth, name, or a recent photo.
What forms of proof does social security need to see?