Hey there lowellMBA,
While there may be several reasons for the issues regarding sending that note from your iPhone to your Mac, we'd like to set some expectations, along with explaining some methods that may prove easier.
- The first is the same method we use between our own iPhone and Mac called iCloud. Specifically, syncing iCloud Notes. Any new note created, any edits made, or any deleted notes reflect the same changes across all devices signed into the same Apple ID for iCloud Notes. This in turn saves storage space on your devices as the notes are stored within iCloud. If anything should ever occur with the hardware of either device, the notes all stay synced within iCloud Notes. This goes the same for any content you sync with iCloud between all of your devices. If you'd like to set up this option, here are more details: Set up iCloud for Notes on all your devices
- iCloud Messages can also be used to sync text messages between both devices, along with allowing your Mac to send/receive text messages once set up on both devices. This feature is called Text Message Forwarding, and if you're interested in this feature, this link has more details: How to forward SMS/MMS text messages from your iPhone to your iPad, iPod touch or Mac
- While you have iOS 16.0 installed on your iPhone, the latest version is iOS 16.0.2. Here's a link that'll show how to first back up, then Update your iPhone or iPad.
- We also recommend updating your Mac to macOS 12.6 as you're running an outdated version(macOS 12.5.1). This link will show how to first back up, then Update macOS on Mac.
Regardless of how you'd like to proceed, we do recommend at bare minimum to update both devices to the latest releases, then either test for the same issue sharing that note, or set up the two iCloud features we described. Please keep us posted on the results.
Cheers!