The 'system' in Crofton sometimes is lacking, if I could be so blunt.
...they would probably bollox the whole thing
I hear you, but at least you would be on record.
If she seems to be pan-handling in the same area, you could drop off some food for the babe. I never give cash, but I've bought plenty of meals - especially back when I used to work in the city.
Keep us posted.