"on" implys what in the two sentence?? "on" means "in the process" always?

1.I study hard on my empty stomach.

2.the money is found on her.

1. this guy forgot having meal or he didn't
have his/her meal purposely??

2. the girl was looking for the money or she found it incidentally?
Update: 1. this guy forgot having meal or he/she didn't
have his/her meal purposely??
Update 2: I study hard on an empty stomach=>i study hard when i have an empty stomach???
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