I've found that angling the babies body so that her legs are closer and her head is slightly tilted at the breast works better than being parallel. I have very large breasts (I/J) and laying down has always been my favorite way to nurse in the beginning. Just remember that they get bigger and stronger each week so it may work better in a week or two.
Loving wife to Erik - the man who drives me wild and drives me crazy .
Mother to Amelia (12.06), Charlotte (11.08), Clark (3.11), and Tabitha (6.13).