John,
Look at the Settings | Mail, Contacts, Calendars on your iPhone and see which of your mail accounts also has Notes included. There is a Push / Fetch option there and alongside each account shows you what is included when data is exchanged.
I have an iCloud Account [set as Default] that has Mail, Contacts, Notes etc., plus two other mail accounts that also include Notes in their settings. Look at the Push / Fetch settings and it should be set to 15 minutes. Try Push if Fetch does not work and if both devices are on same wireless network then your Notes should appear on both devices.
I have a Macbook Pro alongside the iPhone and iPad Mini and my Notes are there on all three.
T.
MacOS 10.9.5
iPhone on 9.2.1
iPad on 9.3