посему он с клятвою обещал ей дать, чего она ни попросит.
that he promised with an oath to give her whatever she asked.
so that he promised with an oath to give her whatever she might ask.
so much that he promised with an oath to give her whatever she asked.
so he promised with a vow to give her anything she wanted.
Whereupon he promised with an oath to give her whatsoever she would ask.
Therefore he promised with an oath to give her whatever she might ask.
whereupon he promised with oath to give her whatsoever she should ask.