Louisa
I'm not sure that the grave being unmarked or the presence of other burials in it is necessarily indicative of a pauper's burial. It appears to come down to the payment - or not - of the immediate burial costs i.e. digging the grave, paying for a coffin and paying for a Minister to officiate.
I've attached a couple of PDFs; the first one shows a random selection of burial records which have information in the remarks column indicating that, for whatever reason, the burial is 'on the Parish'. The second shows the occupancy of some of the graves.
Mary Cunningham was buried in plot 406 in Section A of the Old graveyard at Blackhill in 1870 and the fee of 10/- was paid. However, two previous burials of small children had already taken place in the same plot in December 1863; in these prior burials of Ann Murray and Augustine Joyce the burial costs had been borne by the Parish. For whatever reason, the cost of burying a child was less than that for an adult but presumably the parent(s) could not afford it.
There is no marker on this burial plot, or at least none that is still surviving. This is not really surprising as there are well over 500 plots in this Section and only 13 have markers of one kind or another.
As far as I know there is no separate section in Blackhill graveyard for paupers' burials and I would imagine that in most cemeteries the only indication of inability to pay would - similarly - be in the records. If it's mentioned in the records then it will be accompanied by the details of the person buried, even if, as sometimes happens it's 'Unknown' or 'A stranger'.
PatB.