How can you prove ownership if the public record doesn't contain names?

A Delaware or Wyoming LLC or Corporation filed through a Registered Agent provides you with the highest level of confidentiality. Only the company name and the name and address of the Registered Agent typically appear on the Certificate of Formation or Incorporation, along with the date of filing and the company file number.

The Operating Agreement (LLC) should be enough to prove the LLC ownership:

The fundamental terms of an LLC's ownership and operation are set forth in an LLC Operating Agreement. 

An LLC Operating Agreement generally sets forth certain fundamental terms, such as:

• The ownership percentage of each member;
• The manner in which profits, losses, and expenses are allocated;
• The authority of members to bind the LLC and participate in the day-to-day management
• The voting rights of each member in making key decisions;
• The circumstances under which a member may withdraw from the LLC, and the way in which the member’s economic interest is calculated upon withdrawal;
• The ability of a member to sell or pledge his/her interest to a third party;
• Terms contemplating the death or disability of a member;
• The circumstances and terms under which new members may be admitted;
• The circumstances under which the LLC will be liquidated, and the priority of claims among the members upon liquidation;
• Indemnification rights (if any) in the event the LLC or member is sued in connection with the LLC's business.
  
  Delaware does not require an LLC Operating Agreement to be filed or added to the Delaware public records.