You can't.
I'm going to be the bearer of bad and utterly ridiculous news.
My DP bought a new car on 16th March. After he paid they told him they didn't have the logbook.
Long story short, you need to fill in a v62 with a £25 postal order or cheque for a new log book and post it to dvla.
They take up to 6 weeks to process.
But thanks to the pandemic, they are only processing keyworkers documents. Which luckily for us, DP is.
Except it has been 9 weeks.
And he still has a car he can not drive because he can not tax it without them issuing the new logbook.
At the point of having to buy another car....
Fucking ridiculous situation. But there you go. No amount of pressure has made a jot of difference. They trot the same line out at every call. They said they are running on 10% of staff.........
So basically, I suggest you go to the old address and ask the residents. Or find that logbook.