Use the Field Calculator to create a new field, "OWNER1", with data type string(text)
, and the same field length as the "OWNER" field.
Use this expression:
If( "OWNERNO" = 1, "OWNER", NULL)
Repeat the operation to create a field for each value in the "OWNERNO" field, changing the "OWNERNO" value in the expression each time.
- Create the field "OWNER1" with this expression:
If( "OWNERNO" = 1, "OWNER", NULL)
- Create the field "OWNER2" with this expression:
If( "OWNERNO" = 2, "OWNER", NULL)
- Create the field "OWNER3" with this expression:
If( "OWNERNO" = 3, "OWNER", NULL)
- Create the field "OWNER4" with this expression:
If( "OWNERNO" = 4, "OWNER", NULL)

Now use the Field Calculator to copy the "OWNER1" value from the one feature that has it to the other copies of that parcel. Use this expression to update the existing field, "OWNER1".
maximum( "OWNER1","PARCELNO")

Repeat for every field.
- Update the field "OWNER1" with this expression:
maximum( "OWNER1","PARCELNO")
- Update the field "OWNER2" with this expression:
maximum( "OWNER2","PARCELNO")
- Update the field "OWNER3" with this expression:
maximum( "OWNER3","PARCELNO")
- Update the field "OWNER4" with this expression:
maximum( "OWNER4","PARCELNO")

Now consolidate the duplicate parcels, using either the Dissolve
tool (choose "PARCELNO" as the dissolve field) or the Delete duplicate geometries
tool.

This will create a new layer called Dissolved. Delete the fields "OWNER" and "OWNERNO" from the new layer. Be sure to export the new layer as a permanent data type (by default QGIS creates a temporary layer, which will be deleted when you close the project).

If you have many layers, you might want to automate the process with a Processing Modeler. Just use the same processing algorithms and steps in the model as I described above. I didn't demonstrate that because setting up and troubleshooting a Processing Model is a giant pain in the [pick your favorite body part]. There are tutorials out there if you really want to do it this way. If you only have a few layers, setting up a model wouldn't be any faster than doing it manually for each layer.
Note: I assumed you have a field called "PARCELNO" which contains a Parcel ID Number that's unique for each parcel, but that identical for duplicates of parcels with multiple owners. Substitute the actual name of your Parcel ID Number field wherever I use "PARCELNO" here.