Webster's Revised Unabridged Dictionary · 1913

Rightly

Rightly , adverb

[Anglo-Saxon richtlice.]

1.
Straightly; directly; in front. [Obsolete] — Shakespeare
2.
According to justice; according to the divine will or moral rectitude; uprightly; as, duty rightly performed.
3.
Properly; fitly; suitably; appropriately.
Eve rightly called, Mother of all mankind. — Milton
4.
According to truth or fact; correctly; not erroneously; exactly.
I can not rightly say. — Shakespeare
Thou didst not rightly see. — Dryden