I need a new brand name

We have a brand name that is no longer suited to the markets we serve.
- for B2C we have a subscription app through which users can get 20-minute bitesize professional/personal development books. The competitive space in which we operate is for condensed/summarised books.
- For B2B we have an on-demand, mobile learning platform that organisations can use to share their essential content with their employees or customers. The competitive space in which we operate is learning management systems and newer mobile learning platforms.

So, we have the following aims for the branding exercise:
1. Determine whether both markets/products can be services under one brand name? Is there a common and strong enough concept that can make a tagline for the brand that works for both markets? We believe that there is but desire external help to think this through.
2. See if the current brand name Joosr, could still be made to work for both B2C and B2B.
3. If not then have a new brand name created that covers both markets. From the perspective of operating the business, rebranding would be a huge distraction and is only a very last resort if there is a far better alternative than the current brand name.