iPhone Charges While Off, But Doesn't Charge When On

Let's Keep It Simple,

I'm Traveling In 5 Days Since This Thread Got Posted

I Wanted To Bring The 4S With Me As A Backup And As An Editor For Videos (Splice Is Only For iPhone)

So I Took It Out Of The Closet And Put It In The Charger, It Charges, OK!

But Then I Forgot The Password That I Had On The iPhone,

I Tried Multiple Password And It Got Blocked (Not Surprising) So I Wanted To Put It In Recovery-Mode So I Can Restore It With iTunes, But EVERYTIME I Hold The Power+Home It Gets On The Battery Is Empty Logo, So I Try To Plug It In While Its On, But It Doesn't Show That Its Charging, I Tried A Power Bank, A Laptop, And A Wall Charger, But No Luck, Same Result. I Would Like Some URGENT Solution, Because As I Said, Im Travelling For A Vacation .

Thank You