Scoring Question

[Atlas]

You would think that I would know the answer to this, but here it goes....

Pitcher A gets 2 quick outs before a batter reaches via error, thereby extending the inning.
Pitcher B relieves A and allows a 2 run HR.

That runner (via error) is an unearned run charged to pitcher A.
Is the batter that hit the ball an earned or unearned to pitcher B?

If A gave up the HR it would have been unearned.
It strikes me that, for the team, it should be unearned.
Given those 2 positions, is it unearned for pitcher B too?

Is it then correct that any damage that pitcher B does that inning is unearned?

Doesn't strike me as correct.

Anybody have a strong thought?

[Cocktails and Dreams]

Editing for accuracy, Todd is correct in the next post. Had always thought that the earned runs had to net out to the team earned runs.

[ToddZ]

It's unearned for the team, but earned for the relief pitcher.

[Atlas]

It's unearned for the team, but earned for the relief pitcher.

See this makes sense, but I just couldn't wrap my head around how the same run could be both earned and unearned.