OP, what exactly informed combining the names Bitshare and EOS and why not any other name?  Then are the two developers or team for the two coins part of your project?

Work is being done by Dan Notestein's software organization - well known for blocktrades.us and a member of the original BitShares dev team.

This is a project that honors BitShares holders who provided the DPOS technology that powers EOS and 90% of all other public blockchain transactions in the world (see Blocktivity.info).  It is not sponsored by block.one or EOS community, but it does bring BitShares assets over to EOS, tying the work of Dan Larimer together into one greater ecosystem.

BitShares EOS (BEOS) is conceived as a middle chain sitting between BitShares and the EOS main chain. It will give smart contract capabilities to BitShares assets and make BitShares assets portable across the EOS domain. In its first release, however, it serves only as a way to get BEOS tokens delivered into the hands of participating BitShares supporters.