Hope that helps. Eowyn is a great support character to lane with and I have tried a few build variations in the thread above with Bastion and Udon, but I also like the Mirror relic Caradhras combo.
If you are laning with a partner, max healing first to keep them in the lane. Once her ultimate is available, max it second and then the shield. Her root is good but I level it last because you only need this at level 1 to help CC other enemies.
Hate not me, hate your weakness. PSN: IntrepidKnight