Per NamUs, she has scars from some type of breast surgery as well as a scar around her navel, which research suggests might have been from an abdominoplasty (a tummy tuck.)
Assuming she never expected LE to search her computer, why did she search for fugitive information in such a roundabout way? Rather than researching how long the feds will search for someone, why didn't she just search her own name to see whether she was still listed as wanted, or if she's listed as a "Jane Doe perpetrator," the local crimestoppers page for the area she committed her crime?
I'm leaning toward the possibility she might not appear on any most wanted lists by name but she suspects LE has her DNA and/or fingerprints in CODIS in connection with a crime, hence her resistance to reveal them. Then again, she's been making efforts to hide her face even while living in Florida, so maybe she does think someone could recognize her.
This fugitive has close statistics:
http://www.fbi.gov/wanted/additional/heather-jean-johnson/view
http://doenetwork.org/cases/2156dfmd.html
http://www.missingkids.com/poster/USMD/99740497
"Julia" is 5 feet 6 inches -- HJJ is five feet 2 inches to five feet four inches
"Julia" is 130 pounds -- HJJ was 105-116 pounds in 1999
"Julia" is 30-40 years old -- HJJ uses birthdates between 1975 and 1980, making her 34 to 39 years old now
"Julia" has red/auburn hair -- HJJ's is listed as brown but looks reddish in her color photo
"Julia" has green eyes -- HJJ has green eyes
"Julia" has nipple scars -- HJJ has scars from breast implants
"Julia" also has a scar around her navel -- HJJ has had "several cosmetic surgeries" per Doe Network
Facial comparison ("Julia's" photos are in color, HJJ's are black & white):