She cant simply claim your property unless until there is huge backlog of unpaid alimony (court orders alimony and you dont pay for 3 years, it piles up into lacs).
She directly cant claim share in your property. Your son in the future can claim.
Other thing is, if you want to transfer the property to your mums name, do it now as no litigtoin process has started yet.
My advice would be that, since she has not done anything like filing some false case, you can give it a try as kid is involved, you both might have ego issues, but why make kid suffer for your ego problems?
Many people dont have kids, you have kid and family also, adjust with each other for sake of kid.
But transfer all money, property to your mums name, whether you continue with relationship or not.