No, you don't need to notify the creditor. When the house is to be sold the solicitor dealing with the conveyancing (& he/she should be appointed by you as a part owner, jointly with the executor) will have to sort it out. You should make sure he/she is told at the outset about this charge, & he/she will then have to notify the creditor.
As I've said before, the house can't be sold without probate first being obtained (unless it is repossessed). At this stage, I don't think you can apply for probate. I'm not sure of the timescale but I think it has to be about a year after the death before anyone other than the executor can try to do this. Even then, a solicitor has to be involved and an application made to Court.
Is the mortgage being paid? (I know you've said before you can't afford it). If it isn't, then I would expect repossession action to start pretty soon.