curt - it's not clear whether or not you fitted the bearing, or "had it replaced", i.e. the work was done by someone else. However, since the whining noise didn't change then it's unlikely that the bearing has anything to do with it.
Something here is odd though, hence the content of my first post, because if someone else has fitted a bearing then surely you would have asked them to diagnose the noise - could you answer the question about mileage and recent work?
keyplayer is correct in leading you towards the brakes being the cause - with the car on at least one axle stand (for safety), get as assistant to engage and release the handbrake while you examine what happens with the drum. I would expect that this problem is more likely to be dodgy wheel cylinder though - check the level in the reservoir and see if it's at the height you would expect given the age of the brake linings.
Also, it's not unknown for noises at the front to sound as though they're coming from the rear, and the wheel isn't the only place where there's a bearing that rotates in proportion to road speed.
keyplayer - in my experience, with drum brakes, people get the name of the drum right but the name of the linings wrong, and speedy diagnosis is quite often about reading between the lines. I'm tempted to suggest that you butt out if you don't like my involvement, but you seem a little desperate to leap in and provide the answer to this one, so off you go - it's all yours.