Footage released by the Riverside County Department of Animal Services (RCDAS) shows the unidentified woman pull up in a white Jeep near some large trash receptacles behind Napa Auto Parts around 1 p.m. on Thursday afternoon.
The woman, identified as Deborah Sue Culwell, 54, was arrested Monday, though details on the arrest are still sparse.
For her alleged actions, Welsh tells PEOPLE that the RCAS is confident Culwell will receive multiple charges for animal cruelty, which he says could result in 2-6 years in prison with a possibility of $20,000.
The woman then was seen walking toward the bin and dropping the clear, plastic bag nearby before driving away.
An employee at the store contact animal services after a passerby discovered the bag next to the trash while rummaging through the trash.
"If not for the Good Samaritan's actions, the puppies may not have survived much longer", said the Riverside County Animal Services in a release. "The mid-day temperatures in Coachella on Thursday were in the mid-90s range".
The puppies, which were believed to be about three-days-old, were nursed back to health by a team of veterinarians and given to an animal rescue group.
The seven puppies Culwell was accused of dumping were doing well in the care of a foster volunteer, Welsh said. "This was a shameful act".