Where does “vitally” come from?

Vitally comes from Middle English vital with the suffix -ly, from Latin vitalis meaning "of life," derived from Latin vivo meaning "to live," ultimately from Proto-Indo-European gʷeih₃w-.

vitally (English): In a manner that imparts vitality; To an extent...

Definitions

In a manner that imparts vitality; To an extent...

Ancestry of “vitally”, step by step

Step	Language	Word	Meaning
1	English	vital	Relating to, or characteristic of life; Necessary...
2	Middle French	vitalité	—
3	Latin	vitalitas	life, vitality
4	Latin	vītālis	—
5	Latin	vīta	—
6	Latin	vīvō	—
7	Proto-Italic	gʷīwō	live, be alive
8	Proto-Indo-European	gʷíh₃weti	to live, to be alive
9	Proto-Indo-European	gʷih₃wós	alive, living
10	Proto-Indo-European	gʷeih₃w-	to live

Every word from Proto-Indo-European gʷeih₃w- →

vitally — Etymology, Origin & Word History | Etymology Explorer