What's the difference between "lastly" and "finally". While Webster explains several senses of "finally", it doesn't explain any meaning of "lastly" and simply enters it in the entry for "last" as one of its derivatives.
On the other hand, while in the entry for "finally" it uses some synonyms to describe its meanings (such as "eventually" and "ultimately"), it interestingly avoids using "lastly" there.
So, are there any connotative differences between, say:
Finally, we should make some friends in our new school.
Lastly, we should make some friends in our new school.
Is it like "finally" is more emotional and "lastly" is more rational?