I'm just checking back. How is she doing? Here is a link to more specific info on draining: https://www.backyardchickens.com/t/68731/laying-hens-with-water-belly-or-ascites/40
I'm sorry your RIR hen is ailing. The most common problem is egg binding, and an internal exam of the vent is usually recommendation. Here is a helpful link on egg binding:https://www.backyardchickens.com/a/egg-binding-symptoms-treatment-and-prevention
When you refer to "eggs going into her...