Aunt Greenow herself had made various liberal offers to herself which Kate had declined, not caring to be under pecuniary obligations even to Aunt Greenow without necessity; but she felt that for such a purpose as her brother's contest, she need not hesitate to ask for assistance, and she thought also that such assistance would be forthcoming.

Aunt Greenow had made generous offers to Kate herself, which she had declined; but she felt that she need not hesitate to ask for assistance for her brother.
