As far as I know, if you want to use Chrome as a Control in to a .NET application, you can try the chromiumembedded framework. You can ask help in this website
I will move this one to off-topic. This one is talking about the chrome control not IE control.
Jesse Jiang [MSFT]
MSDN Community Support | Feedback to us
Actually, Jesse, the word "chrome" in this context is referring to the outer parts of Internet Explorer, and not the Google Chrome web browser. It is common to refer to the finishing visuals of an application "chrome". This terminology is common in Firefox too, and may be the source of inspiration here.
Jose R. MCP