First, take a look at Richard's question. Are you using a single 15V supply? Most 741 opamps require at least +/- 10V to operate which is 20V between V+ and V-. if you only have 15V you might be operating the chip outside its specification range. The TI 741s require +/- 10V, other manufacturers parts might have different requirements.
Otherwise, try removing the two resistors and making the circuit as simple as possible. Look at the buffer schematic here:
http://www.eecs.tufts.edu/~dsculley/tutorial/opamps/opamps5.htmlNext, make double-sure you know how the pins are numbered, when starting out I recommend people draw the chip with pin numbers and the draw the circuit they plan to assembly around the chip. This significantly reduces the error rate.
After assembling the buffer circuit, use a multimeter and check the potential (voltage) of every pin against ground, write these all down on your drawing made above.
If everything looks right, but the circuit still doesn't work, get another (hopefully known good) 741 chip and try that. Check the temperature of the chip while operating, it should be room temperature.
If it still doesn't work, post a list of the pin numbers and their associated voltages from above and we might be able to help.
You might also take a look at the signals on each pin with an oscilloscope if you have access to one. The should all be flat DC levels, if you see anything else then you have a hint as to what the problem is (power supply with ripple or just AC voltage on output, 1V source is not DC,etc etc).
Good luck.