Cricket is personal property. Chattel. Many folk think animals ought to be treated differently than a bike, but under the law, they generally aren’t. For example, I run over your dog, I’m generally liable for the replacement cost, not the untold millions of emotional value you perceive.
Anyone can ask for whatever they wish. And if they don’t get the answer they wish, they can pursue whatever legal recourse they wish.
If Cricket’s - or the bike’s - owner file suit to get their property back, they would generally have to present proof as to why it wasn’t a gift. They bear the burden of proof, establishing at least a prima facie case, which can then be rebutted. As a very general matter - judges don’t tend to be complete idiots. And they are aware of the legal - and commonplace - concept of gifts. When you give your nephew a birthday present, do you both have to sign documents to make sure you don’t get to take it back later?
Generally the owner appears to have intended to give Cricket to the OP, they gave Cricket to the OP, the OP accepted Cricket, and the OP did not pay for Cricket or give anything in return (consideration). That is what appears to have happened.
If someone wishes as transaction to be viewed differently than it appears, it is generally on them to take the necessary precautions. And their self-serving testimony is generally insufficient to meet their burden. The prior owner says it was not a gift, but instead, something else. What? A loan? A bailment? Some other manner of property transfer? But they have ZERO evidence to support that interpretation. OP says it was a gift. Meanwhile, the OP had exclusive control over Cricket, paying all costs, and there is no writing of any kind - receipt, contract, etc.. What sort of evidence do you expect to be effective in proving that this was NOT a gift?
Like I said, I’m not a contract lawyer and I’m not writing up a legal document here. I’m sure I got something wrong so far, and probably ought not try to go any further. I’m sure someone will come along and explain how and where I was off base.