Do Old English dialects correspond well with modern English ones?

Solution 1:

For people who came to this entry late, the table (not tree) of English dialects that [fix: user3109672] was talking about can be found here. Under the guise of a "merge" to the History of English article, an editor simply deleted the entirety of its content. (Zero edits were made to HoE at the time of the "merge".)

The editor wasn't entirely wrong: you could make a similar chart for some features of pronunciation (phonemic) and vocab (lexical similarities) but what [fix: user3109672] was looking at was entirely unsourced and seems to have simply been a very oversimplified table of links to different dialect articles based on time and geographic location.

tl;dr: The chart was unsourced original content and there's no meaningful answer to your question. Some wiki guys made it up mostly to organize links to their articles and anything accurate would have to be far more nuanced, since those dialects change and influence each other over time.