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Kramer vs Kramer?
not Kramer vs. Kramer, this one came out in the early nineties
It's a good thing our last name isn't Drew, because then you'd be Nancy Drew and I'd be Andrew Drew. -Andy Botwin
The best I can offer is the Imdb search results 
for keyword "custody battle"
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A movie I remember from a while back about a blonde boy (possibly played by Hayley Joel Osment). All I really remember about the plot is the kid's mother dying and there being some sort of custody battle over him.