If someone died without leaving a will, but there was property that needed to be dealt with, the next of kin would have needed to apply for Letters of Administration, and these would be recorded with the wills.
If there is no trace of a will or administration in the expected time frame, there are a few possible explanations. Occasionally probate oe administration was delayed for a long time, sometimes even years, possibly in the case of a dispute. Some smart people managed to pass on their property to the next generation without a will at all, which might be well worth doing to avoid death duties.
If there was land involved, this might not be dealt with by a will at all, because it was not owned but rented (farmers were often tenants). Also, at some periods real estate (ie land) was treated differently from personal estate (pretty much everything else), but I'm getting out of my depth here because I can't remember quite when and how!
Mean_genie