Sorry to hear about your mother, it is not an easy battle to fight, but, there are many survivors.
I do not believe that ascites are released through vomiting....the ascities could be within the abdominal cavity and inside the intestines. It is best controlled with chemo. Ovarian cancer can spread to the lungs as well as other organs.
There will be many others that will come along to offer advice and comfort.
Best of luck to your entire family....if you need anything, remember we are all here to help you and your family through this.
Pam