Actually Henry Ford refused to make the engines in the US (although a Ford plant in the UK did so). Whether it was Packard or RR that initiated the deal I hadn't discovered, but in any case Packard had to redraw all the plans. That took a year.
There are differing reports on this; however RR did set up a US based subsidiary to source components and machine tools before 1939. This subsidiary did have discussions with Packard before the war, and before discussions with Ford-USA.
It seemed to be an evolving story with Packard initially trying to drive a stiff deal, but with war under way and the need for more Merlins, by the spring 1940 the UK government approached the US government directly to source a US manufacturer. Ford-USA was then approached with Henry Ford refusing to comply, so Packard was then approached through the US government and the deal was secured.
Ford-UK was also approached. Both Packard and Ford-UK had to redraw the RR provided drawings into US projection (RR use first-angle projection, and the US use third-angle). The Packard redraw was completed in late November 1940, with the fist prototype Packard engine running in July 1941 and the first production engine in October 1941.
DAI