My auto insurance agent died. How long can the agency continue to do business in his name?

I had an insurance agent named "Joe". He was always friendly when I came in to pay my bill. For several months I went in to make a payment and Joe was not there. I would ask about him and they would say he was off today. Finally I went in and asked about Joe and they stated that Joe died last week. I had not seen Joe in over a year. My receipt even that day had Joe's signature on it. Can they do this?