How can I track referrals?

Does anyone know of a referral tracking service integrated into Stripe where I don't have control over the 'middle' part of the service delivery? I can use a custom link at the start, but my customers will install from a 3rd party marketplace which can't read or track a referral code. The same customer will then pay in Stripe, and this will be outside the marketplace process, so I can do whatever I need there.

Something like (ReferralService is the service I'm looking for):

• Provide a link to a partner doing some promotions for my SaaS
• Customer clicks the link, loads ReferralService page which places cookie on device and transfers on to generic marketplace
• Time passes…
• Customer phones and says they want to purchase
• I manually onboard the customer and give them a link to ReferralService hosted page
• ReferralService page checks for cookie
• Customer is transferred to Stripe payment page
• Customer pays their monthly license through Stripe
• Stripe knows customer is a referral and lets me know (ideally it would handle commissions etc automatically but that isn't crucial)

If it doesn't exist then there's an idea there for someone! It would surely be the easiest to integrate affiliate/referral service available :-)