Question: The proposition "from" is could be used to indicate the source. In this example (context is soccer, or association football): 

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> [link](http://en.wikipedia.org/wiki/Argentina_v_England_(1986_FIFA_World_Cup)#Lineker.27s_goal_and_Argentine_victory)  
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>  "England were unable to score an equaliser - Olarticoechea making a particularly important defensive contribution in the 87th minute when he and Lineker both jumped for the ball ***from*** another Barnes cross, the two players collided, both missed the ball by a whisker..."
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A ball is a physical object. A cross is the act of sending a ball across the field. The part: 

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> "...when he and Lineker both jumped for the ball ***from*** another Barnes cross..." 
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suggests that a physical object (ball) could somehow appear as a result of an act (cross), which sounds weird. An abstract version of "*the ball from a cross*" would be "***[an object]*** from ***[an action]***", which suggests that the "*[action]*" has a hand in creating the "*[object]*".

Would this: 

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> "...he and Lineker both jumped for the ball ***on*** another Barnes cross...." 
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be possibily better?

Answer: 
The word *from* is used to indicate who passed the ball (Barnes). In sports, a pass (or throw) uses the same prepositions as a birthday present:

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> a gift from my brother to my sister  
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>  a touchdown pass from Manning to Harrison  
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>  a scoring pass from Orr to Esposito  
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>  a crossing pass from Barnes to Lineker  
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>  a throw from Jeter to first base
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As for your assertion that the wording "suggests that a physical object (ball) could somehow appear as a result of an act (cross)," that's not the case. The word from doesn't suggest that the ball was conjured out of nowhere, but that it got its direction from Barnes' foot. So:

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> he and Lineker both jumped for the ball **from** another Barnes cross
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means the same as:

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> After a cross pass **from** Barnes, both he [Olarticoechea] and Lineker jumped for the ball. 
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I assure you, the preposition *from* sounds very natural to a sports fan in that context. 

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As for your initial assertion:

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> *The proposition* from *is used to indicate the source*. 
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That is an oversimplified view of a very flexible word. The word *from* can also be used:

* when stating who gives or sends you something → *this package from Bob*
* when something starts at a particular point and moves away → *the puck from center ice*
* when some condition is because of or as a result of something → *clothes wet from the rain*.

Little prepositions often have [many uses](http://onelook.com/?w=from&ls=a).
I take it this is from the description of a football (soccer) game? Sorry, I'm not familiar with the terminology of the sport. But assuming that, as you say, a "cross" is an action ...

The quote does not say that the ball came from a cross. It says that they jumped from a cross. "For the ball" is a prepositional phrase acting as an adverb to modify "jumped". Eliminating some modifiers, you could simplify this sentence down to "[The two men] jumped from a cross." So they did a cross, and then from that cross they jumped.

The difficulty that often arises is that the same construction could have a totally different meaning. In a different context, you could say, "They asked for the ball from Sweden", meaning, they asked for the ball, and the ball is from Sweden.