How did you add the notes in iPhoto? The Tites and descriptions I added to my photos in iPhoto 9 have been transferred to the Photos Library and were visible.
But it has been ten years since I migrated from iPhoto to Photos. The Photos version I am having on my oldest Mac (Photos 4 on macOS 10.14 Mojave ) is very different from Photos macOS 10.13 High Sierra. Photos has been become much more usable since the version on High Sierra. It is hard to remember details.
The best you can do is really to create a Photos Library from one of your iPhoto Libraries on your High Sierra Mac and then compare the iPhoto Version to the Photos version, side-by-side as Yer_Man recommended. This will make it. easier to fix any problems than on your new Mac, where you can no longer run iPhoto and you can no longer migrate an iPhoto library as a library.
A second problem you may encounter are videos and image files in a legacy format. Since macOS 10.15 Catalina the system does no longer support 32-bit applications. And Apple has removed some of the iLife frameworks from the system, that supported older video and image formats. If you are having media files in your iPhoto Libraries, that are no longer supported on your new Mac, they may be causing problem. You should convert all media, that can no longer bemused on your new Mac on your old Mac, where you can still open them and export them in a new format.