Beatles firsts
The Beatles combined folk with rock before the Byrds as admitted by Roger McGuinn
Ok: this is what McGuinn actually said:
( He doesn't say they combined folk and rock. He says they inspired him and that he could hear similar chord structures in their music to folk (on She Loves You and I Want To Hold Your Hand no less.). I don't think it counts becasuse they had absolutely no idea or intention to combine the two.
So no, they didn't combine folk and rock. (least of all on the two songs cited.)
"Roger McGuinn on the Beatles and Folk Rock"
At the same time all this was happening, McGuinn also experienced a major epiphany that would have a profound effect on his musical future: The Beatles had exploded onto the American charts. Captivated by their skiffle beat, mellifluous chord progressions, and infectious melodies, he instinctively knew that melding those distinguishing characteristics with his own tried-and-true folk sensibilities and training would yield a pretty unique sound.
"When the Beatles had come out, the folk boom had already peaked," McGuinn notes. "The people who had been into it were getting kind of burned out. It just wasn't very gratifying, and it had become so commercial that it had lost its meaning for a lot of people. So the Beatles kind of re-energized it for me. I thought it was natural to put the Beatles' beat and the energy of the Beatles into folk music. And in fact, I heard folk chord changes in the Beatles' music when I listened to their early stuff like 'She Loves You' and 'I Want To Hold Your Hand.' I could hear the passing chords that we always use in folk music: the G-Em-Am-B kind of stuff. So I really think the Beatles invented folk-rock. They just didn't know it."