

The obvious answer would be the airline that ripped you off or inconvenienced you, right? That may be only part of the answer. There may be individuals and/or other businesses that should also be named in the lawsuit.
This is where your research comes in. If you are suing a company that is owned by another company, a subsidiary, you will want to name the parent corporation. If you have a product liability issue there may be a contractor, a supplier or other entities that you may also want to consider naming. You do not want to make it all the way to trial and have the judge dismiss the case because you failed to name the right party. For more on identifying and naming corporate defendants check out Guide To Finding Your Corporate Defendant. Guide To Finding And Understanding Your Corporate Defendant.
Sometimes you will name both the airline and specific individuals. Normally individual owners, officer, shareholders and employees are not liable for the debts of a corporation. But if you allege that fraud was committed or a Statute was violated, you may want to consider also naming the President and/or owners of the airline or the salesperson with whom you dealt.
Filing a lawsuit against the individual personally will get their attention. It can have the added benefit of curbing their behavior in the future for fear of other personal lawsuits. It could also make it easier for you to collect your money after being awarded a judgment. Beware of filing a suit against an airline that has already filed for bankruptcy or you may find yourself defending a lawsuit.
A disadvantage of naming individuals is that you have to serve each person named. If you conduct discovery you have to provide copies of the discovery to each defendant. The time necessary to prepare your case will increase and it will be more expensive, particularly if the named individuals live out of state, or in different states. If the person lives outside the state you cannot compel the person to come to court. Whereas you can sue a corporation and require its attendance in any state where the corporation does business and virtually all airlines are corporations subject to personal jurisdiction in all 50 states.