The Viscount had a non-standard vintage bottom bracket. They used sealed bearings. The spindles were held in place by circlips.
If you remove one circlip, you can hammer out the spindle and the opposite sealed bearing. They use standard bearings that you can replace. You can hammer out the opposite bearing with a drift punch through the bottom bracket.
In hammering in the new bearings, you will need a tool that limits your hammer to the outer bearing surface. I used a socket of appropriate diameter. To make life a little easier, I put the bearings in the freezer for half an hour before hammering them back into the bottom bracket. Ditto for the spindle. I waited for the bearings to warm up before pushing the spindle through. The chill contracted the metal a bit and made it easier to insert.