I think the second chance offer would come in at £137. You've been outbid by £2, so on the sellers bid list the final bid that he see's from you will be for £137.

There is a big problem with people using other Ebay ID's or friends to run up items so they become the winning bid and then offer the item as a second chance. So, in effect you are paying the maximum it was worth to all other Ebay bidders.

If its a week or so after the sale end date its probably a genuine offer. A few days seems quite quick to not have resolved something with the original winning bidder.

I'd wait and see if they relist and maybe bid again.