Does the account with the bank or utility company for which you have supplied information and supporting documentation relate to another person who is to provide you financial support?
Again, I've put yes because the information we're giving to meet the financial requirement is in my husband's name. I'm assuming that's what they mean by financial support.
On that one they mean a third party financial sponsor who is meeting the financial requirement on your behalf (i.e. a relative or friend) - the key is in the wording 'another person' (i.e. not you or your sponsor). Except that third party financial sponsors are not allowed to be used for the visa (unless you are exempt from meeting the financial requirement)... so you must answer No for this one.
The questions are used to determine which Consent to Checks forms need to be signed:
Part 1 is signed by the applicant.
The first question you posted is in relation to signing Part 2, which is signed by the sponsor
The second question you posted is in relation to signing Part 3... which no one will sign, because you can't have a third party sponsor