You can use the name and logo. As regards ***** ***** that is not an issue as you and your husband as the owners of the first company simply grant a licence to the second company to use the logo. As regards ***** ***** you can do one of two things. With the consent of the first company, A Limited, the second can use the first's name as a trading name, e.g., B Limited trading as A. Alternatively A Limited and B Limited can swap company names so that A Limited becomes B Limited and vice versa. Each company retains its original company number so they are same entities as before but with a name swap. That is quite common in take over and mergers. I hope that helps. Please leave a positive rating so that I am credited for my time.