Well, Fremont never became President.
The only precedent we have is Chester Arthur, who lied about his father’s citizenship status at the time of Arthur’s birth.
His father was a Canadian citizen. The lie was the father had become a citizen of the Us prior to Arthur’s birth.
Quite a big deal was made of it at the time, and records were not like they are today, so he got away with it. Later on, the lie became known.
Not very logical.
The Republican Party endorsed and supported him as the nominee.
Quite a big deal was made of it at the time
Do you people just make this crap up as you go along?
The "big deal" surrounding Arthur was that he himself was born in Canada and thus ineligible. A Big Deal was made about this because as Garfield's health deteriorated, many Republicans did not want to see Vice President Arthur, a Stalwart and Conkling stooge become President. Fearing a return to the civil service patronage system that Garfield railed against, they floated the notion that Arthur was a stealth Canadian in a futile effort to prevent his Presidency.
His father had nothing to do with it.
(And Arthur went on to sign into law the Pendleton Civil Service Reform Act.)