L1 to H1 CoS on a Consular Process approved H1B

[Ksheera]

All, 

Brief explanation about the situation. 

Currently in the US on L1-B from Company A. Have H1-B petition approved as Consular Processing with Company B (Petition was applied as Consular Processing as I was out of US while applying H1-B/ Not a COS Denial).  Due to various differences with Company B, I do not wish to join them (Consultancy). Now, Company C has a very Interesting Job offer and they would like to use my H1-B petition. 

Questions:

i. Can Company C use my H1-B without me ever working for Company B?

ii. If yes, Can they convert my H1-B Consular to H1-B CoS? (In the lines of H1-B Amendment)

iii. I have heard about H1-B Cap Exempt petition. Can Company C apply for a Cap Exempt petition for me?

iv. Can the company then make the Cap Exempt petition to be a CoS instead of CP?  

 

I looked around for similar cases, but could not find any. Hence Starting a new topic. Thanks for all the help in advance. 

 

Regards,

Ksheera