Can we still be evicted in the winter with small kids in the residence?

Question Details:

I had 2 cars they both died within 3 days of each other causing me and my wife to lose both of our jobs. We have 4 children together ages 5, 4, 2 and 4 months old. Its now wintertime and we aren't even 1 month late on the rent and our landlord is starting the Notice to Quit. We are currently working with D.S.S and CT Works Dep. of Labor and I am receiving Unemployment and EBT cash. The total amount of assistance I receive is still $300 short of my rent. Important Notice