I'm late in on this thread but have two comments.
1. After the introduction of statutory recording of BMDs in Scotland in 1855, there was a degree of confusion for several years as to just when the RCE (Register of Corrected Entries) procedure should be used for deaths such as this.
In later years, the death would have been registered within a few days, most often by a relative, or a landlord etc., with a later RCE entry following an investigation of the circumstances following the involvement of the Procurator Fiscal (PF) and his staff; this RCE entry confirming the place and date of the death, possibly with a wee bit more detail than in the death register entry.
To begin with, however, for several years, it appears that the route followed was that of the info being given in the first instance to the PF, who then acted as the informant, or the person certifying the cause of death. As in this case, there wasn't an RCE entry.
2. I'm unsure as to what info survives as regards the Poor Relief records in Dalry [in the County of Ayrshire] (where I now live !) but the most informative Poor Relief records are the Inspectors' reports of the interview with the applicant for Poor Relief, normally on the day of their application, or the day after.
In the best cases, not unusual, where these interview reports survive, they provide a mini life history, with the age and place of birth of the applicant; names of parents; name of spouse and names of spouse's parents; names of children; along with, in the 'best' cases, names of children's spouses and their issue, as well as their occupations and income (all this in order to determine why they couldn't give financial support to the applicant for Poor Relief).
It's also quite common as regards the applicant, to find a listing of addresses over many years, this not least to assist the local parish to assign costs back to another parish !
Orraverybest
ibi