Family sharing iCloud doesn’t share notes
Family sharing doesn’t allow to share notes
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Sharing iCloud storage with a family does not share any of the data in iCloud, it only shares the storage plan (i.e., the storage space). See the following from Share iCloud+ with your family - Apple Support
When you share an iCloud+ subscription, everyone in the family group uses their own account. That way your photos, documents, and other information stay private, even though you're sharing access to the service. You simply share the features and space available in iCloud+ with your family members, so you only have one plan to manage.
It is possible to share some Notes information (with our with out family sharing) but it doesn't share all notes to all of the family. See: Share notes on iCloud.com - Apple Support