Im splitting from my partner, we have a jont mortgage which I don't financially contribute to, as I have a 15 month old child, I want to move out. Can I get housing benefitand child benefit whilst my name is stillon the mortgage?

What type of housing benefit or child benefit are you talking about, What county are you from ? Were you married ( saw partner not spouse)

First you need a child custody order in place and get temporary child support order though the court against the other parent of that child.

Housing assistance, at least in the US is determined by income and financial status.

Also if you are not married to the partner where you have a joint mortgage, it can be bad, since it will be hard to force them to buy your share out, and also if they do not pay even after years of you not living there, the mortgage company can come after you for payment

I live in england. We are not married.