You argument is invalid for a few reasons.
1) Words spoken on the floor of the house or senate are not binding in law in the least.
2) The passage quoted is invalid in logical terms since it is incomplete, stating two cases which fail to encompass all possibilities: a) All from other lands and b) all others, born within the Republic of parents with no foreign allegiance.
3) You own evidence implies that there are ONLY two possibilities:
- Natural Born
Given #3 the president can be anyone who was born a US citizen -- that is a citizen that was not naturalized.
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