Heavens to Betsy — lovelily is an actual word! I haven’t been just making up an adverb all these years when people ask, How are you doing?
OED’s earliest evidence for lovelily is from before 1400, in Cursor Mundi: a Northumbrian poem of the 14th century.
Apparently that poem is the “second most heavily quoted work in OED1/2 after the Bible and the fifth most quoted source altogether.”
A brief excursion shows it spelled “luflyly,” and that it also shows up in Sir Gawain and the Green Knight.