where is the recovered bike, and who is in possession of it? It would generally be returned to the original “rightful” owner, if insurance has paid out it belongs to them (but they may not be interested), if it was bought by someone in good faith they can make a claim to the bike.
If the bike has been recovered by and is in the possession of police then the Police Property Act can be used; parties who dispute ownership (eg. original owner and good-faith buyer) go before a magistrate who decides on ownership.
Not a lawyer, just useless workshy b*stard plod who steal from kids, according to various posts in
http://singletrackworld.com/forum/topic/ive-bought-a-stolen-bike-follow-up
which might be worth a skim read (a modicum of useful stuff in amongst the ranting).
edit after your last post- rights of stolen bike ownership irrelevant, youve given something away and now you want it back?