Both the incidents took place during Pakistan's chase, which was also beset by weather interruptions.
"Chinelle Henry and Chedean Nation were taken to hospital for medical attention," CWI said in a statement. "Both Henry and Nation are conscious and stable at hospital and are being assessed."
West Indies Women brought on two substitutes and the game continued, with the home side eventually declared winners by seven runs on Duckworth-Lewis-Stern after another interruption.
"It isn't very easy in those conditions and situations. I'm just happy that the team was able to go over the line for those two ladies who weren't with us, and we're just waiting on all the information that we can get," Courtney Walsh, the West Indies head coach, said. "They have our full support and we'll be riding with them as well."
Javeria Khan, the Pakistan captain, wished the pair a quick recovery.
"The thoughts and prayers of the whole Pakistan team are with Chinelle Henry and Chedean Nation," she said in a statement. "We wish them a quick recovery and are hopeful that we will play against them in our next match on Sunday.
"Such incidents are tragic and can shake whole dressing rooms. Hats off to the West Indies that they turned up and completed the match despite the grave incident."