DOVER, Del.- Delaware students started receiving the H1N1 vaccine Monday. Elementary school students were the first the get the vaccines.

After getting the nasal spray version of the vaccine, students had to wait 15 minutes before going back to class, just in case they had a reaction. The Department of Health said hundreds of students were vaccinated Monday, but official numbers were not expected to released until Tuesday.

State officials said next week middle and high school students should get the vaccine.

Then, later this month, private schools get their turn. The state said only some family doctors are giving out the vaccine right now.

Officials from the Department of Health said the general public should be able to get vaccine by December or January, as long as there are no problems with supplies.

Some parents, who do not have children in public schools, are still waiting on to get the vaccine.

"I have a 10-month-old, so I don't want to take any chances and have him get anything. I want to keep him safe," said Lisa Henderson.

And health officials said people should be vaccinated.

"Really for the students, the safest thing is for the children to be vaccinated. It's better for the children and better for the school and better for the community to make sure people are vaccinated," said Kristen Bennett of Delaware's Department of Health and Social Services.

The state said they could vaccinate up to 1,000 students each day.