still, yet, again: a small word that marks something as continuing, repeating, or being added on
This is one of the most common little words in the Hebrew Bible, and it does a single basic job: it points to something that keeps going, happens once more, or gets added to what is already there. Out of one idea, continuance, it fans into the everyday English words still, yet, again, more, further, and besides. The thread running through all of them is that a thing has not stopped, or that there is more of it.
Which English word fits depends on the direction the sentence is looking. Looking at a state that has not ended, it means still or yet: the rain was still falling, he is yet alive. Looking forward to a fresh instance, it means again or more: she bore a son again, give me more. Looking at a total, it means besides or in addition: have you any other relative here.
A special use clamps the word to a person or thing with a small ending (him, her, them, you, me) to mean while that one is still in a certain state: while Joseph was still alive, while the lamp is still burning. This is the same continuance idea, now timed against a moment in the story, and the storytellers of Genesis and Samuel lean on it constantly.
The senses shade into one another, so translators move freely among still, yet, again, and more, and a single Hebrew word can be rendered many ways across English Bibles without any change in the underlying meaning.