Civil Surgeon of the district Dr KM Humayun Kabir said the woman came to the hospital on Wednesday morning.
She told doctors that she has been suffering from the problems for the last 10 days, he said.
Later, she was taken to the isolation unit, the civil surgeon said, adding that they took the initiative to send samples of the woman, aged 26, to Dhaka for medical test.
However, the woman said she neither returned from abroad nor came in contact with any overseas returnee.
Meanwhile, a total of 1,297 people who have recently returned from different countries are currently in home-quarantine in the district of Bagerhat.
Of them, 730 were sent to home-quarantine in the last two days, said Pankaj Chandra Roy, superintendent of Bagerhat police.
After placing them under quarantine for 14 days, the local administration hoisted red flag atop their houses so that other people remain alert about them and help ensure maintain the quarantine, he said.
A total of 3,833 people returned home from abroad in the district from March 10 to March 25.