Instead of trying to distract the parent with fertilized eggs, bring a reasonably "tanky" tamed dino, one with high health/armor and a good saddle. Trike, stego, turtle, etc. Whistle it to passive.

Approach the parent while riding it, wait for the parent to aggro on it, and lead it a short distance from the nest (not too far or taming won't work). While parent is still aggroed on the tame, hop off, run around, and hide in the nest. Then start taming the baby when it does it's dances.

The parent may lose interest in the tanky dino, so be prepared to run back over, hop back on, and nip at the parent again. Wash and repeat.

The whole process is much easier with two people, one to ride the tank and the other to tame the baby.