Is your older dog up to date on his shots? If not, why?...and if so, he should be alright, but should still have a once over by a vet. I can't stress enough how important it is to make sure your pets are current with ALL of their shots, especially since you live in a wooded area. Their could be wild animals around with Rabies, and other diseases.
There is no excuse not to vaccinate them. Yes veterinary care is expensive, but as you said, they are your family. They can also pass on diseases to other family members...worms etc. You should bleach everything in your house, and also ask your neighbours if their dogs are up to date. If not, they should also bleach everything in their homes, and get their dogs to the vet. You could be held responsible for their vet bills also.
I am so very sorry to hear about your other dog. It's heartbreaking to lose a family member. Keep a very watchful eye on your other dog, and make sure he is eating and drinking as normal. If you notice any signs of lethargy, or any change in his habits, go to the vet ASAP! Alot of vets will have payment plans. Our pets reley on us to keep them safe and healthy, so it's up to us to take care of their health. If we can't afford to keep them healthy, then we shouldn't have them. I'm not trying to be mean or make you feel worse than you probably already do by any means, but I know that alot of others will read this, and some people don't realize the importance of vet visits for your special pet, so they don't have to get the awful news that you got.
Again, I'm so sorry that you lost your pup.

I hope your older dog is just fine, and gives you many more doggy kisses!