ESA & Savings Confusion

Dear Forum

I know someone who has fallen on hard times and has been admitted into a hospital due to having a breakdown. Her ex partner (my friend) is quite upset as he only just find out, however he wanted some advise because her Dad recently passed away and has left his children some money. Once its all divided out it will come to just over £16k and my friend knows she doesn't have any savings but he doesn't want it to affect her benefits. He asked me for advise because she is estranged from her siblings (they have taken out restraining orders against her - long story) and he is no longer next of kin but doesn't want to see her financially worse off because he knows she is in the best place to get her life back on track.
I am rather confused because I am getting three figures, £6,000 £10,000 & £16,000 savings limit for ESA. Her siblings would rather talk to my friend before sending her the money from their Dads account as he has requested some time to make sure she isn't impacted by the savings cap.

E13JT

The following only applies to Income Related ESA, any Contribution or New Style ESA will not be affected by his savings. They also apply to Housing Benefit if applicable.

The two figures to be aware of are the £6000 limit after which there will be deductions from his ESA and £16,000 above which he will lose entitlement to any ESA(IR).

The £10,000 figure applies to Pension Credit.

Gordon