i think it is very cool that you've taken in people over the years. i'm sure that is not an easy thing to do so kudos to you.

it sounds like your husband doesn't realize that you'd be enabling this woman if you took her and her baby in as is. she'd probably totally take advantage of you and go off doing her thing while you two raise the child and you'd be left with a lot of resentment, things would then get bad between all of you, and then she'd pack up and leave either with or without the child. you could ask your husband how would she learn to be responsible if she has you two to always be there to step in and caretake? an alternative would be to take her in but require very strict boundaries like she'd have to work x number of hours at a job, you'd only babysit for her socializing x number of hours a week, etc. etc. and if she didn't live up to it she'd have to leave. or, if you're at all open to just taking the child and adopting it then you could suggest that instead. it is ok to just say no to all of this but i'm guessing you will feel a bit guilty. who wouldn't? you're having to be the bad guy. other options are offering to help her make arrangements to live on the reservation or elsewhere...as long as you don't think they'll all collude to convince you to change your mind and let her move in. if that is the case then let her figure out her own life. she could give the baby up for adoption which could be a good idea if she can't take care of the child.
since your daughter is the one who volunteered you to babysit i think she should be the one to tell this young woman she spoke without checking with you first and it isn't really an option. that is really your daughter's mistake to rectify so let her do it and she'll be more careful in the future not to volunteer you.