Geeta was around 10-year-old when she crossed from India into Pakistan.
Another family in a remote village of Uttar Pradesh's Aligarh district on Wednesday claimed that Geeta, who returned from Pakistan after being separated from her parents over a decade ago, is their daughter.
Bahul Singh, a resident of Uttra village in Atrauli tehsil said that Geeta is his "daughter Dolly" and he is ready to undergo DNA test to prove it.
Mr Singh also said that Dolly went missing on November 11, 2000 and a case in this connection was registered at Barla police station.
Narinder Singh, son of Bahul Singh, told news persons that he had one brother and 3 sisters.
"On the fateful day, the whole family had gone for a pilgrimage leaving Dolly behind who in a fit of anger had ran away and never returned," Narinder said.
Earlier, a family hailing from a village in Pratapgarh has claimed that Geeta is their Savita who had gone missing from Bihar 12 years ago and is ready for a DNA test.
Geeta, who returned from Pakistan after a gap of 15 years, refused to recognise the Mahatos from Bihar whom she had identified as her family through photographs when she was in Karachi.
External Affairs Minister Sushma Swaraj had stated that Geeta refused to identify the Mahatos as her family. She had earlier identified them through pictures sent by the Indian High Commission in Pakistan.
Geeta, now 23, was reportedly just 7 or 8 years old when she was found sitting alone on the Samjhauta Express by the Pakistan Rangers 15 years ago at the Lahore railway station. Indian government has said that Geeta would be handed over to the rightful family only after DNA test.