I don't believe your actual question was answered.
The egg move to be passed down has to be one of the 4 moves the father knows. Just being a move the father can learn will not cause it to show up in the baby.
This also is the case with TMs. If the father knows a TM the baby can learn (at the baby stage), it will be born with the move.
Hope that clears things up.
_________________<center>
<img src="images/trainercards/pixeltwist.png"><img src="http://img.photobucket.com/albums/v497/insanity122/side.png">
<img src="http://tinyurl.com/2p7b96">
OMG PSYBLOG!<img src="http://tinyurl.com/2p7b96">
</center>