My sympathies to you and your family at this difficult time.
You’ve already gotten a lot of good advice here. Talking to a W/C lawyer in your state is the best thing to do as you will need someone who knows the laws for your state inside-out. For the purpose of informal discussion like is going on here in this forum, I would offer the following comments:
Where he died doesn’t matter. The fact that he died while on the jobsite doesn’t automatically qualify this as a potential Comp claim. Think of the reverse – many workers end up dying in hospital or at home, and they have a valid Comp claim.
Compensation covers more than just accidental injuries. Workers can claim for gradual long term conditions that are brought on because of their working conditions – examples: carpal tunnel syndrome for office workers or other repetitive strain injuries such as lower back pain for labourers; also heart problems or stomach ulcers can be successfully claimed if it can be proven that these conditions came about because of the work environment. Even if the ulcer was already there, if you can prove that it became worse because of your work, then you have a partial claim for the percentage that was made worse by your job conditions.
The key, therefore, in your dad’s case, whereby you mention he died of an aneurysm, will be to get medical corroboration attesting that his work either caused the aneurysm (full payment) or made it worse (partial payment). This will be very difficult to prove but if you have a good lawyer they will know how to present the case to make it winnable.