Could increasing the minimum wage have unintended, negative consequences for some people?

For example, if you make minimum wage now, and you have children, you qualify for SRS provided daycare and other kinds of assistance. Daycare averages about $6.00 an hour (much lower than that in Kansas, though and higher than that in places like Seattle.) If they increased minimum wage to $10.00 hour I wonder how many folks would no longer qualify for SRS assistance? People would go from making $7.25 an hour and having their daycare paid for, to $4.00 an hour, after paying the babysitter.