We are not using any 3rd party plugins. In construct, the memory use in the status bar says our game is using 382.3mb. If this gets multiplied by 4 when exporting using Cocoon and played on the phone, I can clearly see why the game is crashing. Is there any way to lower the amount of memory used by the game?
Holy crap, Construct is saying you use 382MB?!!! Mother of god... how big are your background and sprite images?!
The only way to lower the memory use is to use smaller sprites, instead of 512 x 512 or 256 x 256, consider using 128 x 128 pixels. Also do not have the background as one large image file, it's insane to do that for many different backgrounds.
If your game is 1280 x 720, each background image of that size is 16MB into memory as a texture 2048 x 2048, because it will not fit in a 1024 x 1024 texture as its width is too large, it has to go up to the next power of 2 texture.
And read it again and again til you understand.
When you design for mobiles, target a device and aim to have less than half its total ram taken by your game, because mobiles have a lot of junk running in the background it consumes nearly half a device's ram. ie. a 1GB phone typically only have 500MB free for apps. If you want your game to run good on 512MB devices, don't let it consume more than 256MB ram etc.