This appears to be a personal tartan, as opposed to a clan tartan, and would probably only apply to Mr. Alvis (presumably the former Baron of Lee) his immediate family and retainers. I note that this tartan was registered in 1985 the year the barony and castle of Lee was sold to E. Leslie Peter, an American industrialist. In 1988 E. Leslie Peter of Lee, the Baron of Lee, registered a vaguely similar tartan as "Peter of Lee Tartan". This tartan was worn by the Baron of Lee, the Lady of Lee, his son and grandchildren. It was also worn by his domestic staff, and kilts in Peter of Lee tartan were presented to persons as diverse as Prince Bhutalazie of the Zulus, and General Norman Schwartzkopf! The Baron also kitted out a local pipe band, who used to entertain the Baron's guests before dinner at the castle. And believe me, those were some dinner parties. At one, which I particularly remember, Lady Rathdown and I were the only guests present not worth at least half a billion dollars!

But back to the subject. Although Alvis of Lee is no longer the Baron of Lee, he still retains the heritable territorial title "of Lee", as does his heir. So, aside from the personal tartan of Mr. Alvis (formerly of Lee Castle in Lanarkshire), it looks as if there may not be an Alvis tartan.