
You noted that the sisters visited New Bedford/Fairhaven in the days before the murders and then follow with mention of a pregnant woman's shelter. Are you thinking such a facility is where the sisters went when in New Bedford/Fairhaven?
Not sure how detailed you want feedback to be, so I'll share a couple related notes and we can go into more detail if you want.
* Lizzie stayed in New Bedford at 20 Madison Street with Nancy Pool and her daughter Carrie from Thursday July 21 to Tuesday July 26. Emma went to Fairhaven (just across river from New Bedford) July 21 and returned August 4th upon receiving a text from Lizzie/Dr. Bowen.
* It was also established during the trial that Lizzie's period had ended just a day or so before the day of the murder. The "bloody water/towels in the pail" were attributed to this cause.
Tell us more about your theory!!