Let me start by assuring you I am a mechanic, not an agent. But in the same situation, I found that All-State saved me a lot of money.
Bard College
If your child is covered under your insurance while in college, the coverage probably ends in the month that the child graduates. You can probably purchase Cobra coverage at a higher rate until the child buys his or her own coverage. You should check with your insurance agent (or the actual policy if you have it) to be sure of the ending date of your graduate's coverage.
Usually 16 weeks not including holidays
Colorado College
Ann Curry's daughter, McKenzie Ross, is rumored to be attending college at New York University (NYU).
Wellesley College in Wellesley MA
Maria Shriver and Arnold Schwarzenegger's daughter went to Georgetown University. She actually graduated from the college in May 2013.
If you have to file a claim on that child they can request that you 'prove' they are a full time student. I had to do this periodically without a claim while our daughter was in college. And if you cannot prove it that child will have no coverage.
NYU
Yes. Homeowners policies provide coverage for theft or any other covered cause such as fire, tornado, etc. when the property is located off premises. The amount of coverage is generally 10% of coverage C (Contents) for property located off premises. This covers property at a friends house, in a hotel on vacation, in your child's dorm room at college, and just about anywhere else. Homeowners policies is probably the best value there is in insurance due to the amount of coverages it provides for the low premiums.
Billie Holiday didn't go to college.
There are several veteran organizations that may be of help and have established scholarships for children of vets. Contact a college admissions counselor for more info.