The answer, as usual, is 'it all depends'. This time, identifying a thread depends first on where it was made, and secondly, when.
Anything made in North America will generally have 'unified' threads unless it was made before WW2 or after 2000.
Before, there were SAE threads and American Threads, mostly the same as unified. A clue is that the hexagons fit AF (inch) spanners. After, there might be Metric or even ISO metric threads and mm spanner sizes.
Europe except UK, and Japan, will be metric in one form or another, and post ww2 generally ISO metric.
The UK has a wide range of options, with Whitworth and BSF etc up to about 1950, then Unified, and Metric from about 1990. BA is rather a special case, still in UK use for some things, mainly electrical switches, plugs etc, and with their own range of spanners.
The main clue, I suggest, for grease nipples is the size of the relevant spanner.
Sorry – if it was easy you would be taught it at school.
Cheers, Tim