I'm not picking on anyone specific here, I promise. And if this is a mistake that you make when you blog, tweet, journal, check in, or otherwise put your mark on the internet, we can still be friends. But I've noticed this particular grammatical pitfall in a good half-dozen places in the past few days, so...
When you're talking about yourself plus another person, we were always taught that using "me" is wrong. "Sami and me went to Ohio." This is wrong--it should be "Sami and I went to Ohio." However, it's not ALWAYS wrong! Observe:
Samantha and I stood by a river
CORRECT: Because if you took Samantha out of the picture, it would read
I stood by a river
Now, let's try this one.
Sami and I, standing by the river
Well, if you take Samantha out of the picture, here's what you get.
I, standing by the river
Instead, it should be
Sami and me, standing by the river
Because when you take Samantha away again (Poor Samantha, she must be getting whiplash by now...)
Me, standing by the river
So you see, depending on how you construct your sentence, sometimes saying "me" is actually the correct way to go! It just depends on the context.
But no matter what you do...let the other person go first. It's never "Me and Sami" or "I and Sami." After all, manners manners! ;)