Hi, welcome to Shaktipeethas.org. As far as I know
Arpana mata and
Aparna mata are one and the same. But, you are telling that she is your Kuldevi, and I can't dare to make any conclusions on this topic. Another interesting point is, you are also telling that her seat was in Bangladesh, if that is correct it's nothing but
Bhabani mata temple at BhabanipurHere is what I know about Bhabanipur temple :The temple is believed to be very old and the goddess in the temple is variously called as Aparna (One who even stopped eating fallen leaves while doing Penance for lord Shiva), Arpana (One who is dedicated to lord Shiva/ One who is offered to lord Shiva), Tara and Bhawani.
Her stories are linked with the Natore kings. According to a legend dating back to early eighteenth century, Ma appeared as a small girl in-front of a bangle seller beside the lonely pond, nearby her temple in dense forest. She had divine charm with tip of vermilion (Tilak) on her forehead. She bought conch bangles from the seller and told that she is daughter of Nator Rajbari (Palace of Rajshahi zamindars) and asked him to collect money kept at a specific place in that palace. He went to Rajbari to collect his money. Rani Bhabani (the wife of then late Raja Rmakanta) being wondered by hearing this story, came to the site of pond with her court. But they can't find any girl there. Bangle seller understood that he saw Maa Tara and prąyed a lot for the re-appearance. Maa raised from the pond showing her two wrists with the conch bangles worn. From then onwards the name of that pond became "Shakha-Pukur" (conch-bangles pond) and devotees take their holy bath when they go for the goddess.
Another story tells that the King of Nator and his grandson the Maharajah Ramakrishna used to meditate near the temple. And I also learned that the seat, the Yagna kunda and five skulls are still present there. Now,
“Bhabanipur Temple Devolopment, Renovation, and Management Committee” was established for the purpose of bringing the temple into limelight. As there is no idol for the goddess, a Kali murti was consecrated, and arrangements were made to offer Bhog to Maa daily.
How to reach Bhawanipur?Bhawanipur village is located on the bank of river Karatoya, 28 Kms from Sherpur/Serapur.
Devotees can go to Bhawanipur from Dhaka via Jamuna Bridge and after passing Chandaikona in Sirajganj District, they can reach Ghoga Bot-tola bus stoppage on the same highway from where they can reach the Bhawanipur Temple premises by van or scooter. Pilgrims from the districts located to the North of Bogra can reach the Bhawanipur Temple premises by passing through Sherpur, Mirzapur and Ghoga Bot-tola (bus stoppage) of Bogra district.
Main festivals at Bhavanipur :Ramanavami or Deepanbita : Large Mela conducted in Chaitra month.
Maghi Purnima : On the ocassion of Full moon day in the Magha month.