It's well-documented that, particularly in the Harris days, but also in the few years following, that
all finishing off, putting marks on, etc, was dependant on there being staff time and equipment available to do so, everybody mucked in.
This why there are bits with Dobson's and MH's writing of the mark as well as just about anybody else who was around and could do it.
It's also why some cut-ice lollipops are not cut and why so many bits are not marked at all.
Mdina written on the base is merely the Mdina factory mark, no indication of maker.
I've stated several times here, but it bears repeating

that I did once try to identify all the different "hands" I could find in earlyish Mdina marks... but that I gave up when I got to around 25.
It really didn't help that they had been trying to make them look similar.

I do associate this triangular shape of perfume bottle with being quite late - and beyond the time-line of my interest.