No president was born in Springfield, Illinois, although Abraham Lincoln once lived there, and was later buried there.
I do not know of any US President that was buried in such a way.
Ronald Reagan is the only U.S. President born in Illinois. He was born in Tampico, Illinois on February 6, 1911.
Lincoln's state of residence was Illinois. He was elected to Congress as a representative of Illinois. He was a member of the Illinois General Assembly. He is buried in Springfield, Illinois, his hometown.
President Abraham Lincoln was re-buried in Oak Ridge Cemetery in his hometown of Springfield, Illinois, alongside his wife and three younger sons.
On May 4th 1865 Abraham Lincoln was buried in his home town, Springfield, Illinois.
Jackson
Two U.S. Vice Presidents were from Illinois: Adlai Stevenson and Charles Dawes.
President Lincoln held the public offices of: US President US Congressman from Illinois and State Congressman or State Assembly in Illinois.
The US president in 18o9 was James Madison for most of the year. Illinois was under his government.
No US president is buried under the rotunda of the US capitol. Some of the presidents, such as McKinley and Grant, have elaborate tombs which have rotundas and they are buried under them.
At this date, 2010, the president is from Illinois and the vice president is from Delaware.