How the modern day gibberish got started:
Two young men were fighting outside a traveling evangelist's tent.
The first had a strand of cloth around the others neck and it was clear the man was being choked.
He sputtered, "untie my bowtie."
The aggressor yelled, "Who stole my Hyundai?"
The evangelist decided to use those men in an illustration in the next city he traveled to, and it took off from there.
That's funny right there.
I always assumed you could trace modern tongue talking to Azusa Street and some of the snake handling revivalist movements in Appalachia at the turn of the 20th century. But it apparently pops up off and on.
While reading The Puritan Hope, I discovered that it appeared in the meetings conducted by Edward Irving who gets at least some credit for giving Premillennial Dispensationalism a jump-start in the 1830's in the Scotland, England and Ireland. I don't know if his successors, the Plymouth Brethren, were ever known to practice it, but Edward Irving defended the sign gifts as early as the 1830s.
http://www.revival-library.org/pensketches/e_pentecostals/irvingreport.html
http://en.wikipedia.org/wiki/Margaret_McDonald_(visionary)