Yes Vera, believe that you are correct. Hollyhock rust for instance will spread to Malva neglecta (and do more damage to it than to hollyhocks). below is some info (from illinois but should still be helpful). Aside from fungicides the most common and effective management in a non-agricultural setting is cultural control (and you have already been doing that). |
Here is a link that might be useful: IPM and rust of grass species