Can the creditors come after me for her debt?

I have found out by recently pulling my credit report that anything my husband signs his name to along with mine, we are then both liable for that debt. Now we never had the exact problem your speaking about however my husband purchased a vehicle with both our names attached yet he was placed as the sole owner so when it was repoed it landed on his credit report and not mine, making him liable for that debt. So maybe somehow credit cards fall in the same category, for your sake i hope so..God bless and I wish you luck !!