Thank you both very much for your advice.
I put the same question to the cashier in the county clerks office, (since she used to work in probate) and she said that if I was 100% sure there were no other creditors, then it was not absolutely nessesary to submit a notice. I do, however, understand the purpose for it. In my case, it would be a peace of mind issue and I may just do it for that reason. Even tho I am the PR, I still make sure my brothers and I agree on everything that is going on in this process, so now I will confer with them.
Again, thank you very much for the info,
Tina