Should I give seller a property tax refund after closing?

[Jack Zhuang]

I just closed on a SFH purchase last month in TX and I received an email from the seller's agent requesting a refund from me because the seller over estimated the property tax and has over paid during closing.

Has anyone else been in the same situation before and how did you deal with it? Does the refund need to go through escrow or can be direct? 

-Jack