Just reviewed the first ten or fifteen minutes of Trobriand Cricket.

Jack, they don't discuss score-keeping in those first minutes,
I can tell you that much.
When I get a chance,
I will review later segments of the documentary
and see if score-keeping comes up.

One useful technique is employed in this film,
besides showing footage of Trobriand Cricket games.

A group of villagers has a conversation on camera.
A younger man asks older men -- two men in particular --
in their own language, to comment on
what the game was like when the missionaries brought it
and how the "Villagers" (natives) made changes.
Subtitles provide English translations.
As I say, those first ten or fifteen minutes don't touch on score-keeping.

There are remarks about the natives'/"Villagers'" traditional prowess
in the throwing of spears,
and how spear-throwing techniques changed the way the ball was handled.
Also drastic changes in wickets and stumps.
And instead of a batman running with a bat,
the Trobriand Cricket batman has got designated runners
who run with running sticks.

Oh, I forgot the most essential global change.
Trobrianders threw out the eleven-twelve-member sized cricket teams.

These games were to have traditional ceremonial associations so as to
replace the old forms of fighting and warfare.
Therefore, if a group of people larger then eleven or twelve made an appearance and wanted to play/"fight" against another group,
then there had to be teams on which larger numbers of villagers could play.

The players are all men, and their fantastic costumes
are traditional warrior/fighting dress.
That's for starters . . .