No, you would never see that kind of sentence construction in English. If I understand what you were trying to say correctly, in the first sentence the verb should be probably be "to tell", not ""to say, and the sentence would start "We told them", not ""We said them". The second sentence should probably be something like : "We know that she is waiting to be invited".

Neither of these sentence constructs would be considered correct. In the first sentence, consider changing the verb "said". If you changed it to either "We told them..." or "We asked them...", it would be correct. The second sentence really doesn't make sense. I'm not sure what meaning was intended with this sentence, but I more sensical version would be, "We know she is waiting to be invited". I hope that helps.