I have this exact same problem! Except that I'm running Windows 7 Pro 64-bit. I've already written to tech support and submitted a dxdiag.txt file. For me at least this seems to happen after about 15-30 minutes of play (I've only been playing the Solon Hertiage so far), it just crashes to the desktop with an empty box (but a header saying something about the sound card) and the only option is to just click ok.
What kind of sound card are you using Rogers? I'm using an HTO Striker 7.1
All of my drivers are up to date as well.
I've been doing more poking around with this problem, and I cannot reproduce it in the original Haegemonia, only in The Solon Heritage. I'm going to be doing some experimenting, but it would really be nice if gog.com could help us with this.
Man be cool, don't make mess.
You have Windows 7, which gog is not supporting yet. Calm down and wait a bit. They won't help you in 5 minutes.
They will help you for sure if they find a reason of this crashes.