Have not been able to find baptisms, but have found some other info, which I guess you may already have. There is a Thomas Lambden buried 27/10/1751 St Mary Bourne. Mary Hearne married Timothy Burgs 24/5/1679 Hurstbourne Priors. There was a marriage in St Mary Bourne for a Robert Hearne to a Rose Upton 7/2/1697/8. There are other Lamden's in Kingsclere, which is not that far away, and so could be relatives-Edward and Anstice Lambden had twins John and Ann 3/1/1691/2. There are also some family trees on Ancestry, which may or not help as well.
Regards.