If property was owned by your grandmother, contact the home owners insurance company to let them know that she is deceased. Particularly if the home is now going to be vacant.
A few years ago a friends neighbor died, a couple months later while the family had the home for sale it burned down. The insurance company denied the claim, even though the policy was current, because the policy was written for a home that was "lived-in". Since the owner had died and they were not notified, they were able to avoid paying the claim, despite a lawsuit.
I know when my husband's grandmother died, we immediately (like the first week) called her homeowner's insurance company. They made a note in her file, and her policy rate increased maybe $20 for 6 months, but it was well worth it to have peace of mind. Every policy varies, so yours may not include a rate increase, but they may still require notice.
Also husband's grandmother lived in a rather rural area. We called the local sheriff to let them know that the house would be vacant (due to her death) until it was sold. The deputies paid additional attention to the house--we know this for a fact, because we were there one time doing some business and they knocked on the door to check us out. Of course, they were only doing what we asked them to do, it was just funny. We couldn't convince the deputy that came by that he might "need" the 4000 Parkay butter containers we were taking to the recycling center, nor the 10 years of the community newspaper.