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. MoneyGram's consumers and agents expect reliability and safety and that is precisely what MoneyGram continues to deliver, transaction by transaction. The benefits of money transfers by MoneyGram: the payment of transfers is made in cash. The benefits of money transfers by MoneyGram: simplicity in making up.