In response to your question regarding data sharing under the Solomon Amendment, the Amendment requires institutions to disclose a student's "(A) Names, addresses, and telephone listings. (B) Date and place of birth, levels of education, academic majors, degrees received, and the most recent educational institution enrolled in by the student." It is my understanding that "degrees received" includes degrees earned from your institution and any previous degrees, if known.
The AACRAO Guide for Recruiters and Student Records Managers, Appendix 3, seems to have addressed this question by listing "previous degrees (if known)" as student information to be disclosed to recruiters.
I hope this is responsive to your question. Please let me know if you have any further questions regarding this matter.