rightly

/ˈrīt-lē/

adverb

  1. in accordance with right conduct : fairly, justly

  2. in the right or proper manner : properly, fittingly

  3. according to truth or fact : correctly, exactly

idiom

  1. not with certainty : not for sure

I don't rightly know where she went.

idiom

  1. if I remember accurately

The child's name was Rebecca Rose, if memory serves. She and her mother both died in the big influenza epidemic of 1918.