The names of the other two women were given as Mrs Temitope Okeowo and Mrs Abosede Adebayo.
Mrs Ogunrinde was said to be driving a Toyota RAV-4 at the time of the attack.
Mrs Okeowo is a teacher while Mrs Adebayo is a dental therapist at the General Hospital, Ijebu-Igbo, Ogun State.
Two men reported the abduction at Idi Ayunre Division, spurring counter-terrorism and anti-kidnapping police personnel as well as local hunters and vigilantes into action.
Police spokesman Adewale Osifeso said the security coalition was making effort to rescue the victims and arrest the suspects.
The Nation learnt that some ruffians on a motorcycle attacked three policemen at a checkpoint opposite Mater-Dei Grammar School in Ashaka, Ndokwa East council area of Delta State.
The assailants armed with daggers and axes hacked the inspector leading the checkpoint team to death, and seriously injured two other policemen with him.
A source said the hoodlums burnt a police patrol van and carted away one AK47 rifle.
The inspector died on the spot.
Police spokesman Bright Edafe confirmed the incident, saying the outlaws were being tracked.
In the Angwan-Zegele-Zuba area of the FCT, Inspector Ambi John was gunned down yesterday while trying to foil a kidnap operation.
A resident of the area, Ibrahim Saidu, said there was heavy gunfire as police and vigilantes resisted the criminals.
Two persons were taken away by the gunmen after a drawn-out gun battle.
FCT police spokesperson Yusuf Mariam confirmed the incident in a statement, saying that police repelled multiple attacks by suspected kidnappers in Dankusa, Angwan-Zegele-Zuba areas of the territory.