[nikkianni]

This is totally my opinion here, but I can't imagine saying that an emom couldn't read our homestudy. What would be the big deal? The previous poster was right: You'd get everything from parenting style to income to fertility issues, all in one shot without the weirdness.
Then if you liked what you read, you could meet them and get clarification or ask further questions.
As for the bringing children along with you thing, I can only tell you why I would hesitate. Even if I didn't tell my daughter why we were going, it's still a wary meeting with a person or persons who are total strangers. Who knows what could happen, be said, done, etc.? If DH and I met an emom once and we hit it off and then she wanted to see us in action as a family, I'd be find with that.