Unemployment insurance benefits are set up to be drawn for x number of weeks during the set Benefit year which started on the date the claim was filed. At that time, there was a claim set up with a specific Benefit Year Ending (BYE) date, sometime in 2011, 52 weeks forward from the date it was filed. The claim was in place to be drawn at any time during that benefit year. It stated that fact on the monetary determination you received after filing that claim in 2010, so yes, you were told that. Since you never bothered checking back to see if your claim was approved. I assume you went to work somewhere (?)
But in any case, after that benefit year ending date passed, it's as though that claim never existed. If you filed another claim now it would be based roughly on the two years back, (first four of the last five completed quarters) from the date the claim is filed right now. Unemployment benefits are not based on your whole lifetime work history, just the last five or six quarters. And a claim you set up and never drew in 2010 is LONG GONE, there is no unclaimed money or way it is in any way still there for you.

