Glad you are still here, doglover17.
"For what it's worth, yes you can claim child tax credits if unemployed but I am personally less interested in the nitty gritty more the bigger picture and peoples view"
I don't know about other posters, but I do find it very difficult to give a considered opinion, based on the very small amount of information you have given. Even within the criteria of the few facts we have, circumstances could vary widely.
For example, the woman in question could be the mother of only the one child (that you mention in your OP), she could have been divorced from her ex husband for 12 years, have several thoroughly marketable qualifications to work and previous work experience, yet be actually choosing to live on her ex husbands contributions.
Or, she could be the mother of several children (you suggest more than one child in your thread title ), a fairly recent single parent, perhaps separated from her ex husband just in the last year or so, with no marketable qualifications to work or previous work experience. She could, in fact, be reeling.
In the former case, I could definitely see your point of view (well, the point of view you've suggested through your questioning of us, but not actually given 
).
In the latter case, I would say (if we are talking about the ex of your partner) for goodness sake, suck it up and give the poor woman a break ... you knew what you were getting into!
Of course, these are two quite extreme scenarios I've painted here, there could be dozens of different and conflicting sets of circumstances, but do you see why I find it difficult to give a considered opinion, based on the amount of information you have given?
I've asked before, but is there some sort of back story and, if so, do you feel able to give us some more details upon which to base our opinions?