Bluetooth mouse can't be used for both mac users

Hi
Me and my spouse use the same mac as two separate users.
I recently purchased a Targus Bluetooth Mouse for Mac. I paired it successfully on my user account.
The problem I have is when my spouse login as the other use, the mouse won't work. The cursor just sort of flicker and won't move. As far as I know it is paired properly in both user settings.
How do I get the bluetooth mouse to work for both users??
Thanks.

I'm not sure you can pair it to both accounts at the same time on the same machine. I may be wrong about that, and if so, perhaps someone else can give you an idea on how to get it working for both accounts.

Very strange, after all wireless keyboards and mice or trackpads are almost the default now, and I've never seen this issue.
Could it be the original setup/pairing was done in an account without Admin privileges?

With my Apple BT keyboard, trackpads and mouse each shows up on all accounts (2 admin, 1 guest). Since I did the initial pairing in my admin account it shows with that name in all accounts.