CORS cookie with domain field is setting only in Firefox using jQuery AJAX

I had this same problem, and it turned out that the browser settings were blocking third-party cookies (Chrome > Settings > Advanced Settings > Privacy > Content Settings > Block third-party cookies and site data). Allowing the cookies resolved the problem!

I think the problem can be with localhost, which is not a valid domain for Set-Cookie header. According to RFC, it must contain at least one "embedded" dot. FireFox may implement this in a less restrictive way. Try your IP-address instead.