Ask HN: How do you raise VC funding for an international company?

I’m a US citizen in the UK. Say I want to start a company in the UK, but I want to raise venture capital from investors in both the US and UK. I know a fair number of companies have done this (e.g. “our offices in New York or London”). How do you structure a deal like that? Do you form two corporations and do two separate fundraises? Do you have to keep the capital separate? Or do you have one “parent company” that owns two local companies, and fundraise via the parent company? How do you distribute the shares to investors if the shares are from multiple corporate entities?