My domain is hosted by Afrihost and they use Horde webmail with Imp, Turba, Kronolith and Mnemo.
I had an iPhone 5 which could use the Notes 'account' in my mydomain email account. The Apple was unreliable and I sold it. My newer phone is a Huawei Ascend Y300 running Android 4.1.1 Jelly...
I have JellyBean and I have Keep as well as Gnotes, both on my phone and in Chrome browser.
Keep does not see my Notes folder in my Gmail account at all.
GNote sees it and I can create/edit/delete from my phone.
The desktop apps in Chrome, however, allows me to create new on the computer...