The only reference I could find to that motherboard is this
Russian forum post. The device they refer to there seems to be for the Russian market (all references I could find were in Russian), so probably not the same tablet. I would imagine that budget tablet makers will use off-the-shelf components, so wouldn't think that the motherboard itself would suffice to definitively identify it. The poster in that forum was incidentally having problems finding firmware for his/her tablet that would work, and the person who replied to them just suggested using adb to backup (not your problem, and won't work in your current state), so I doubt there's any help there.
You never answered the question of whether the person who gave it to you knows what device this is.
As for getting into the bootloader, yes, booting while pressing one or other volume button, or both, or in combination with power, is the sort of thing I'd expect. If no combination works that's a bad sign. As we've said, a reset button wouldn't help you anyway: you've corrupted the tablet's firmware, and a reset (erasing the /data partition, i.e. user installed apps and app data) won't change that at all.
I'm sorry, but I am out of ideas here. It's actually quite hard to really kill an android device, but if you can't get it into fastboot or download mode then I think your only hope is to go to a repair shop and tell them the situation (that you don't know what tablet model it is but tried flashing the software anyway and bricked it) and ask whether they think they'll be able to do anything.