。
She stayed there for a short while.
Literal
She [topic-は] a-little [possessive-の] period there [at-に] stayed.
滞在する (たいざいする, 'to stay, to sojourn') is more formal than 泊まる ('to stay overnight') — it covers extended stays and doesn't imply a single night. 少しの間 (すこしのあいだ, 'for a short while') specifies the duration.