Yes, ground is as you shown it. Now, connect the signal generator ground to this point.
Use the voltage follower circuit you provided in Reply 3 with, say, 10k resistors. Keep the gain to 1 until round two of your experiments.
Keep your signal generator output low at about 1V peak to peak until round two. I would put a 10k resistor in series with the signal to protect the op amp. If my generator didn't swing around 0V I might have to put a capacitor in series with the signal. Anything around 1 ufd up to 100 ufd will probably work at audio frequencies.
Remember, you can't get within 5V of the rails so your maximum signal swing is +-4V. It's also worth noting, your batteries are a little low as the minimum supply voltage is +-10V for all variants.
Here is the datasheet:
http://www.ti.com/lit/ds/symlink/lm741.pdfEvery number is important. Note that there are 3 devices: LM741, LM741A and LM741C and they have different capabilities in terms of output voltage swing. Your device should be marked but if it isn't, I would take the worst case of the 3 devices.
At some point, you may want to build up a dual 15V power supply. I didn't need it but I just built:
https://www.jameco.com/z/JE215-Dual-Output-Adjustable-Linear-Regulated-Power-Supply-Kit_20626.html