Sammy
New Style ESA is claimed in your name only, if you want your husband to be considered then you would have to claim Universal Credit which you can do as well your ESA, however, I would check first whether you are actually able to make a claim as your ESA and your husband's income will be deducted from any UC that you might receive.
Put your info into one of the online benefit calculators.
www.gov.uk/benefits-calculators Gordon
