In my view it is not at all unreasonable for a woman to want to bring her children to where she will be living or at least to provide assitance to them. I'd be concerned about any woman that did not have the welfare of any kids she had in mind.
You mentioned that you have anxieties and your lady has also asserted the same. Clearly, she feels concerned that you might not be prepared to consider her unless she povides whatever asurances you made led her to believe you require. For her part, she would like to meet with you first so that you judge her on the basis of who she is and whatever chemistry exists rather than a rather impersonal alignment with a checklist of criteria.
That is how it appears to me. I dont think there is any direct evidence suggesting that she is a goldigger at all.
