Martin, from Woodford Green, east London, was described in court as a “doting and loving grandmother”.
She was 5ft 3in (1.6m) tall and had restricted movement due to a hip replacement, arthritis and a limp.
Leaving her in charge of the two XL bully dogs, and eight puppies, was a “tragedy waiting to happen”, prosecutor Christopher Paxton KC said.
She had mobility issues and “little to no experience” of being left alone with them for a prolonged period of time, Mr Paxton said.
He told jurors: “It was, you may think, a tragedy waiting to happen, given the imbalance that arose between 68-year-old Esther, short in stature, and the towering power of these banned XL bully dogs.”