Although he said there is a covenant agreement that it could not be used for multifamily homes, a pool hall, an auto shop and fast food, the latter two uses have been built there.
Woods said the site's owner has expressed interest in reaching out to the community to see what people want there.
"I am not really a fan of an apartment idea down there," Woods said, but noted an apartment concept would involve buildings of several stories with elevators, which would be upscale housing.
The site is owned by Lstar Fallston Mall Holding Company LLC., whose address is listed at Hudson Americas in Dallas, according to online property records. The limited liability corporation bought it from JMJ Fallston Properties LLC in 2013 for $2.2 million, according to the records. Repeated attempts to reach company representatives were unsuccessful.
Redevelopment could be tricky, as the proximity of some newer retail seems to have worsened the Fallston Mall's prospects.
A gleaming Walmart opened just down the street. CVS, formerly next to Harvest Fare, moved catty-corner to the new Aumar Village, with easier access to the busy intersection.
Fallston Nails moved out of the mall more than a year ago, its sign still on the door. Only two businesses seem to still be operating behind Harvest Fare: Swing Time Ballroom and Hair Remedy Barber & Styling.
Several people shopping at Harvest Fare recently said anything would be better than what's there. They also said the pothole-filled parking lots in the center are a big problem.
"It looks like a junk shop," Mel Lang, who lives by the shopping center, said. He said he would like to see "just something decent."
He was with Joan Lang, who noted they have lived in the area 50 years and remember when the mall had nice stores, like a gift shop.
Andrew Tress, County Council President Billy Boniface's legislative aide, said retail would be "perfect" at the site.
Woods does not support tax-increment financing, he said, but he may be willing to consider such a deal for the Fallston Mall site, if it addressed the site's decrepit structure, which he said is unlikely to happen.
"If there's some thing we could do county-wise to fix that whole corridor, I'm all for it," Woods said.
Beth Poggioli, of the Greater Fallston Association, said residents have also been asked for their ideas.
"GFA was asked for general input as to what would the community like to see there," Poggioli said via an online message, adding she did not know the status or ownership of the mall.
Jim Richardson, Harford County's economic development director, noted the site was sold within the past few months.
"We have worked with several interested parties that have had some good ideas and certainly the county has supported any redevelopment," Richardson said.
"We are trying very hard to merge the front parcels and that back parcel just to make a better development envelope," he said.
The front building, behind a re-opened Burger King and closest to street access, houses Agile Automotive Performance.
"It's certainly something we, the county, would encourage," Richardson said about a rebuilt Fallston Mall.
He admitted that the distance from the road is a major barrier. The mall has one horizontal sign listing its four major tenants on Belair Road, while Harvest Fare and Ace Hardware have flags and a sign on Mountain Road.
"Access is a problem, and we've got to solve the access problem," Richardson said.
He also agreed with Woods that a supermarket, or similar stores, are unlikely to consider the mall unless it looks substantially different.