A Hypothetical Question About Legacies, sort of

[RedRover]

This is a hypothetical situation concerning legacies, but the situation is based on some facts and some of the details have been changed. This is a bit complicated, so bear with me

In college, Joe became a member of Alpha Alpha fraternity. Many years later, while in high school, his son Jack, has relationship with Jane, resulting in the birth of Jerry. Even though Jane and Jack never marriefd Joe and Jack did for a time provide financial support to Jane and Jerry. Eventually, Jane and Jack went their separate ways and Jane met Jim. Jim and Jane married and Jim adopted Jerry. Jack hasnt kept in touch with Jane or Jerry, but Jane does keep in touch with Joe (sending pictures of Jerry, etc.)

More time passes and now Jerry is in his last year of high school and will be attending college next fall. Does Jerry have a claim as a legacy to Alpha Alpha through his biological, but not legal, grandfather

One other complication. Joe and Jack are Jewish and Alpha Alpha is a historically Jewish fratnerity. Once Jack was out of the picture, Jane and Jim, who are both Gentile, raised Jerry as a Christian.

Any input would be welcome