I filed my unemployment claim the day after my separation date (last day at work). I reported that I received severance, and it was in the separation contract that I signed that I would receive 8 weeks worth of severance pay, so I was told by Texas unemployment benefits office that I would have to wait out the full 8 weeks before I would receive my first unemployment check. Based on what the representative said on the phone to me, I do not think I will be receiving any back lump pay through Texas for the first 8 weeks officially unemployed. So 4 more weeks before I receive any kind of unemployment compensation from Texas.
FYI - after taxes, my severance pay was not really "8 weeks worth" because it was a lump sum - 30% of my check was taken for taxes. So I was lucky to get anything from my last job, but some serious budgeting has to be done to keep me afloat.