I have thought this over through the years because I have seen and heard of people whose desires for their organization of choice was not supported financially or emotionally. I already know that I will pay for my daughter (when I have one) to become a part of Sigma Gamma Rho, but she's on her own if it's another sorority.
I will definitely support her emotionally although I will be hurt by her decision if she chooses another. I agree with Tinese that is a shame to put a huge riff in your family because someone wants to do something different. If my child were unfortunate enough to make such a bad decision,

then I would at least take pride that she had the will to handle the financial part the best she could. I would be even more proud that my child had a will of her own to do what's best for her.
Question: How would you feel if your daughter only pledged Sigma because you, her aunt(s), cousin(s), etc. were Sigmas that refulsed to support her pledging ABC, and that was her
only reason for becoming a member? If a child were so influenced by her mother's decision to not support her, I could see someone pledging an organization without any real heart in it. That's the outcome we should all try to avoid.
Sorry for the length
jojapeach