Where does “Lata” come from?

Lata is derived from Sanskrit लता (latā), whose original meaning is not documented.

Ancestry of “Lata”, step by step

Step	Language	Word	Meaning
1	Sanskrit	लता	a creeper, any creeping or winding plant or...
2	Proto-Indo-European	lenteh₂	—
3	Proto-Indo-European	lent-	tree with supple branches; supple; bendsome,...

Lata — Etymology, Origin & Word History | Etymology Explorer