If I had a Royalty interest in an oil lease that was in Illinois and I live in Indiana and I received $329 from that interest am I supposed to file an Illinois tax return

[IreneS · Accepted solution]

No.  As a nonresident, you must file Form IL-1040 and Schedule NR if:

you earned enough taxable income from Illinois sources to have a tax liability (i.e., your Illinois base income from Schedule NR, Step 5, Line 46, is greater than your Illinois exemption allowance on Schedule NR, Step 5, Line 50),

The $329 you received is well below the filing requirement.