Hey, bad news about John Garner. I was wondering what we're his racial views and since he's quite old he was one of the guys responsible for introducing segregation in Texas...
Did a quick Google search about him. He apparently voted for the poll tax in 1901, making it more difficult for those without an education (like say, blacks, latinos, and poor whites) to vote. Throughout his tenure as Vice President between 1933 and 1941, he represented the Southern Conservative wing of the Democratic New Deal Coalition between labor unions, Southern Democrats, racial and religious minorities, blue collar workers, and intellectuals (yeah, US party politics makes odd bedfellows I know).
So, while he was not necessarily one of the main drivers behind post-Reconstruction de-jure segregation in the South, he certainly was not opposed to it and supported it. I hope this answers your question.