Wow!!!
To focus on the OP's explicit questions on their suspicions, whether they are the right explanation of things or not, requires you to draw out a schematic tree of the parties concerned and to work out the MULTIPLE relations between Person A and Person B. You then merely add the expected shared DNA amounts for the multiple relationships.
So say we are looking at one of the children Alice and one of the sisters Jane - which is the relationship the OP is interested in, then one relationship between them is half neice/half aunt. This infers a shared DNA of 1,750 cM avg with range 1,349 - 2,175 cM. However, there is also another relationship between them which I THINK (please check as I have only drawn it out in my head and not on paper) is half cousin once removed. So they will share an additional 226 cM avg with range 57 - 530.
These two amounts and ranges (on a low and high case) basis are then added. So you could be easily be looking at 2,000 cM plus betwixt Alice and Jane.
Like I say please check the logic of these relationships!!! And of course, as already noted other explanations may exist but good luck!!