Police say she used her cousin's identity to obtain federal student loans, then cashed the check.
According to Sgt. Arthur Owen, Elliott is on video at the check cashing location and even presented her ID when she cashed the check.
Police say it happened in November, but the victim didn't realize until January.
"She went to apply for credit at a local furniture store and while she was there, they came back and didn't approve her due to a bunch of outstanding federal student loans," said Sgt. Owen.
Police say they've been looking for the 28-year-old since January for questioning but haven't been able to find her.
They have since taken out a warrant for her arrest for obtaining property by false pretenses.
Police in Chesapeake have been looking for her as well.
They say she's wanted for identity fraud, forgery and sell or furnish marijuana. Those charges are from 2012.
If you know where police can find her, call the Elizabeth City / Pasquotank County Crime Line at (252) 335-5555; you could be eligible for a cash reward.
"It's completely anonymous. They call in, they're given an actual number to identify them. They never have to give their name or anything, then after the case is done, the person is located, they call back in to see if any money is waiting for them," said Sgt. Owen.
Elliott's last known address is on Northside Road in Elizabeth City, but police say she could also be in the Hampton Roads area.