Re the property, are you sure this is part of the deceased estate? If the property was jointly owned by the person you mention in your post & the deceased person (tenants in common) it would not be included in the probate process. In that case on the death of one owner the whole property would be automatically owned by the remaining owner.
It’s not clear from your post how far the probate process has got - has the probate application just been submitted or has probate been granted? As mentioned by a PP it currently takes approx 4 months post application for probate to be granted , longer if there are any queries about the estate.
Also before submitting the application it can take months to value an estate, depending on how complicated the estate is. The executor has to contact all creditors & debtors and receive written responses in most instances. After the grant it can also take some time to pay debts and again receive confirmation of payment, which again needs to be done before assets can be distributed.
Unfortunately have been an executor 3 times - twice applying for probate & once for letters of administration (similar process to administer the estate of a person who has died without a will). The last time I went through the process it took almost 8 months from submission to grant, this was due to the application sitting in limbo following a query from the probate office. I responded to the query immediately but the file was not updated despite me calling regularly to see why the application was not progressing. This was during the height of covid though, so all was quite chaotic & hopefully not typical. I’m just mentioning to illustrate that the grant of probate is not always straightforward.
I think you need to find out a bit more info from the executor to have an idea of timescales.
Not a fun process, hope I never have to do it again. I would definitely pay a solicitor to do it for me next time, providing the costs would be paid by the estate (assume that would be the case but not sure).