The greatest increases in In due time MoneyGram separated from the Western Union and became an independent brand. AgentConnect continues to be an attractive alternative for businesses that choose to integrate their networks and point-of-sale platforms with the MoneyGram wired transfer. How to receive money via MoneyGram wired transfer? To obtain a money transfer it is necessary know the number of transfer from the sender. Using the MoneyGram system, you can easily send money to your relatives and friends in other countries. MoneyGram Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc.