I've got two 450mAh 3.7V lithium ion batteries for my MP3 player. (I've got two of this mp3 player, in fact, since one died).
Said MP3 player is the Insignia Sport 2GB with bluetooth, but that's mostly irrelevant. I use the bluetooth with my bluetooth headphones, but the mp3 player only gets ~5 hours/battery. The headphones get 9 hours or so.
On a fundamental level, one can put two identical batteries in parallel and they will output the same voltage for twice as long as just one.
In reality, I'm sure the two batteries aren't so similar. Problems I see:
-One battery has been used regularly for a full year. (but still had the same battery life... roughly. I've never truly measured)
-The other is "new" off ebay. (and was manufactured more recently, going by numbers on the mp3 player)
-LIon has protection circuits. Presumably this is built into the battery and not into the mp3 player? Would the two circuits play nice, in parallel?
-The mp3 player plugs into a USB mini charger. Would the power flowing increase for the dual load, or would the charge time be twice as long, or, (even though it's in parallel...) would the effective charging voltage be noticeably lower?
-Does bad stuff happen if the + and + are connected and the - an - are connected between two batteries? I.e. If I connected two 9V batteries like that... would bad things happen? Any capacitors/resistors needed somewhere? My understanding is that theoretically, no... but the only place I care to depend soley on ideal theory is my circuits exam in two days.

-Can I do non-destructive testing to get more info?
Do I really need that much battery power? YES... Today's the third day in a row I'll be in a library working until 4am x_x
•Gert
-This post brought to you by the power of Red Bull