Let's make sure we're dealing with the right technology first. Can you tell me for certain that your iHome mouse is a Bluetooth mouse, and not a wireless mouse? A wireless mouse is intended for use with a desktop/laptop, requiring a wireless USB transmitter to be plugged into the computer. A Bluetooth mouse obviously uses Bluetooth technology, and can connect with any device (tablet, phone, computer) that has Bluetooth.
Look under the mouse and tell us what the model number is.