I don't need to look that up, it's a very common and very stupid myth. I could give you 20 minutes on the etymology of fuck, but I won't. The short version is I believe the German orgin (ficken I think?) is most probable.
Fact for restaurant owners: if you serve your burger with a knife stuck thru it, you can increase the price by $4 bucks.
Fact. If you stick a toothpick in a little smoky. You can call it an appetizer and charge an extra .50 cents each.
Speaking of, a woman's primary fornication organ is undefeated in the history of time......it's never lost a match, FACT!......and we know it.