That’s incorrect, we have a much higher income but would be eligible for UC if we didn’t have savings. The £16k relates to savings. You can’t claim UC with savings of more than £16k, and between £6-16k the award is reduced.
Whether you can claim UC or not will depend on your circumstances (your/partner’s age, how many DC, age of DC, childcare, whether eligible for disability elements).
You will be able to claim child benefit if you have DC.