Also - tell me more about how TX was able to require Eisenhower to provide a birth certificate in order to get on the TX ballot. Did the law at the time say that the SOS was authorized to demand a BC?
I think the law authorized (and still does) that is all states, by virtue of charging the SoS with a responsibility. CA SoS did not allow Eldridge Cleaver on the ballot, due to not being of qualifying age.
As for Eisenhower, I don't know the details. Here is a fun conspiratorial read - parts of it have citation to corroborating evidence: Eisenhower 1952 Birth-Certificate Fraud Revealed By Don Nicoloff