Goatherd, when you say your villager is sick, does he say sick or weakened? Healing can only be done on villagers that are actually sick. If they are weak, even critically, all you can try to do is protect them from getting weaker still and ensure that food is plentiful. There seem to be certain jobs that are safer than others. You seem to be conserving your villagers strength correctly, but as Michelle said, I am not sure if he will last long enough for the kids to grow up enough to start collecting food as well....good luck
Savi