Ulysses Grant - is he or isn't he?

[Leo van de Pas]

In his book on the ancestors of American Presidents GBR on page 37 he displays an ancestor list for Ulysses Grant.

67. Elizabeth Booth1641-1732

134. Richard Booth ca.1607/8 - post 1688 Stratford, Connecticut
135. Elizabeth (Hawley ?)

Ulysses S. Grant is mentioned several times but never with a link to royalty.

In his 600 immigrants only Grant's wife is displayed with a royal connection.

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Burke's Presidential Families of the United States of America, in Appendix C (presidents with Royal ancestors) chart 9

here are displayed two lines merging into one from David the Saint, King of Scots to Ulysses Grant, part recorded here, as if there is an error I expect it to be in this part

Sir William Bothe 1471-1519 married Ellen Montgomery
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Edward Booth, of Twemlowe -x-NN
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William Booth-x-NN
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Edward Booth, of Great Budworth -x-NN
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Richard Booth, 1608-1687 went to Stratford, Connecticut in 1640, no wife mentioned but he is supposed to be the nr.134 above


Can anyone advise what is wrong?
With many thanks

Leo van de Pas,
Canberra, Australia