She stayed up all night watching over her mother.

Literal

She [topic-は] all-night [by-で] mother [object-を] watched-over.

徹夜 ('staying up all night') is a common Sino-Japanese compound. で marks it as the means or manner. 見守る ('to watch over / keep watch') combines 見る (to see) with 守る (to protect), conveying protective vigilance — not just watching, but guarding.