types of mark on four digit CL/Titian cups & mugs (1000-1684)

I've really enjoyed how quickly my little collection of Titian and Crown Lynn cups/mugs with four digits has been coming together.
To the 1160, 1161, 1222, 1241, 1242, 1281, and 1374 I picked up yesterday, and the 1184s in the post, I have added a 1333 today. (That makes nine.)
It seems like the 1333 took the spot at the Salvation Army shop that was vacated yesterday by the 1160. I wonder if there will be a new one tomorrow.

I have some questions, for those who have tread this path before me.

Of the mugs I have at hand two are marked "Titianware", [number], and "N.Z.",
two are [number] only, and the remainder are [number] and "Made in New Zealand".

Can I expect to find any other marks?

Are there any of these (small) mugs, in the 1000 to 1684 range that are unmarked (as opposed to indistinct)?

Are the differences in marking an indication of age, designer, location in which they were produced
--Crown Lynn, Titian, Luke Adams (etc?)--or any other factors?

Hahaa so many questions and as we are still discovering and researching the four digit shapes, so we don't have all of the answers.
There are plenty of these shapes around that don't have any markings on the base.
The ones made at Luke Adams are very distinctive with their dark brown and bluey/green glazes and sometimes they have NEW ZEALAND on the base or just a number.
The four digit shape gallery is a great help to identify these shapes as members keep contributing when they come across more, which is enormously helpful.
It's great that these still roll through the opshops on a regular basis and are quite cheap and this helps the endless research.