My parents sold their house and are getting rid of everything. They have had this cedar chest forever. It came from my grandmothers attic so it is really old. I can't find any info on it online. Not sure if it is just OLD and should be dumped, or antique and should be preserved.

I think you are asking yourself the wrong question.

The cedar chest is probably worth some money, but the family history it carries is priceless. If it is a decent piece that you like, you will never be able to replace it, simply because you will never have a cedar chest who you will be able to say about "this came from great-grandmother's so-and-so attic, she used to keep her linens in it".

Life is not only about money. Your parents are passing on their memory to you…. I think you are very lucky.