I want to draw your attention, according to the documentation, the board with the camera consumes 400mA, 1 LED consumes 100mA, standard usb port may issue 500mA, ie theoretically, can be supplied with 1 LED on the board with the camera.
Most likely voltage regulator located on the e-CAM51_USB not be able to give even 500mA to power the camera and 1 LED.
1. Power LED should be from an independent source. You can use a second computer usb output.
2. The power for the LED is desirable to use a current stabilizer instead resistor. it is not required
3. What would include LEDs with the camera, you have to manage them using the additional transistor.
Can you devise a scheme or make such a device, but it is necessary to clarify some questions
1. This is a mass product or single?
2. how many LEDs you want to apply?
3. from what powered device?