Why The Glove Mr. President?

I found a picture of President Eisenhower throwing out the first pitch at a Washington Senators game in 1953, probably Opening Day. Eisenhower, who was throwing the first pitch from the first row of seats next to the dugout was wearing a glove. Why? Don't they just hand the President the ball and say, "Toss it to that guy," and point to a catcher? I really don't think they yelled, "Hey Prez, here ya go," and then threw him the ball. I also don't think the recipient of the first pitch throws the ball back to the President. "Nice throw Mr. President. Here, catch."
Intrigued, I found other pictures of Presidents throwing out the first pitch. I found President Nixon throwing out the first pitch at a Mets game from the front row. He too was wearing a glove.
I found several pictures of President Obama throwing out the first pitch, from the mound, while wearing a glove. Again, why?
I like Presidents throwing out the first pitch from the stands better than the mound. I don't know why but to me it looks better.
How about this. Whenever anyone throws out the first pitch from the mound, a batter is in the batters box and can swing at the pitch if he wants. Then the person throwing out the first pitch would have a reason to wear a glove.
By the way, since we are on the topic of Presidents throwing out the first pitch, the best first pitch ever? How about George W. Bush prior to Game 3 of the 2001 World Series at Yankee Stadium. A perfect strike with some mustard on it.
Also, the first pitch should be reserved for Presidents, war heroes, people of true reknown and former ballplayers. The director of marketing for some car dealership should never, ever, be allowed to throw out the first pitch. What used to be an honor and a special moment has now been cheapened as a marketing tool. Weak.