In due time MoneyGram separated from the Western Union and became an independent brand. How to send money via MoneyGram money transfer? To make up a money transfer you should go to the MoneyGram agents and fill the application form for transfer. Experienced consultants of MoneyGram will help you in execution of documents for payment and you will be pleasantly surprised by the speed of service. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. The benefits of money transfers by MoneyGram: branching of network of the implementation of transfers across the world.