- apparently is used when you have information that you have come upon yourself, usually using one of your 6 senses (taste, sight, hearing, feeling, smelling, or proprioception).
- alllegedly is used when you have "information" that you have come across by someone else, usually by here-say
Apparellegedly can be used in any case.
- I heard Kasie talking to Riley, and allegedly Samantha slept with the whole football team at the party Saturday.
Well apparallegedly, kyle punched Samson and got suspended.