Question about the "no 'the'" rule from the site.

[Aikuzo]

Englishclub.com: We do not normally use "the" for shops, banks, hotels etc named after a founder or other person (with -'s or -s).
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So there should be "the" if they don't have any "s"? (Or do they mean: Don't use "the" on shops, banks, hotels named after a founder or other person whether there's "s" after their name or not"?

Here are some no "s" examples I just came up with:
- I just went to the Barclay Bank (if that name exist)
- I heard the Hush Hotel is the best hotel in Houston.
- I'm trying to find my way to the Jack and Jill. (A shop named Jack and Jill)

Are there any errors? Or is there anything I don't understand correctly?

[Joe]

- I just went to Barclay's Bank.
- I heard the Hush Hotel is the best hotel in Houston.
- I'm trying to find my way to Jack and Jill.