I don't know why you think this page shows that WJ's statistics belong with today's Rangers. For one thing, according to his ESPN stats page, Johnson threw two no-hitters in his career, yet they aren't listed under Rangers pitchers who threw no-hitters.
That would be because Johnson's Senators became today's Twins, where Johnson holds just about every team record.
Since it shows the 1961 Senators as part the the Rangers history, if you keep going down, you'll eventually reach the years for Johnson -- in theory, at least. But, either way, those old Senator are like the St. Louis Browns, long gone, alive in memory and history books.