Sql-server – How to check which users have been created by specific stored procedure in sql server

Create a unique index or unique constraint on UserName then you can reference it in a FK constraint fine.

Your statement that

Sql Server doesn't allow me to create a relationship on a non primary key column

is incorrect. SQL Server only cares that the column(s) participating in the FK relationship have a unique index defined.

You have a user defined in the model database. Good odds someone mis-clicked once upon a time and created the spurious user in model accidentally. model is the template for any databases created on an instance, so if a user exists there it will exist in all databases you create.

Run the script below (on a development instance!) and you'll see a user created in model is added to the TestForModelUser database.

USE [master]
GO

CREATE LOGIN [ModelUser] WITH PASSWORD=N'', DEFAULT_DATABASE=[master], CHECK_EXPIRATION=OFF, CHECK_POLICY=OFF
GO

USE [model]
GO

CREATE USER [ModelUser] FOR LOGIN [ModelUser]
GO

CREATE DATABASE TestForModelUser
GO

USE [TestForModelUser]
GO

SELECT * FROM sys.sysusers WHERE [name] = 'ModelUser'
GO

USE [master]
GO

DROP DATABASE [TestForModelUser]
GO

USE [model]
GO

DROP USER [ModelUser]
GO

USE [master]
GO

DROP LOGIN [ModelUser]
GO