Can a case be filed for dessertion of wife

X marries Y and live for 28 yrs together in Chennai. Later as X becomes a drunkard, X and Y legally get mutual divorce as per Hindu Marriages Act 1955 as on 31.07.2007 Later X marries Z and settles in Kerala in Dec 2007. On 01.08.2012 X gets admitted in an hospital in a drunkan state and Z gives the hospital officials Y contact details and abandons X in the hospital. When the hospital officials calls Y she says she has nothing to do with X and for payment of hospital bills extra you may call Y Hosipital calls Y and Y goes and settles the bills and brings X back home in Dec 2012 and X dies in 2016 after living with Y for more than 4 yrs. All final hindu rites are done by her son and she starts to gets family pension for 4 months Now Z claims for the family pension of X stating she is the legal wife and she alone is eligbible for pensin wheras she has deserted him in 2012 and her wherabouts where not known CAN -Y- FILE A CASE OF DESERTATION in the absence of Z who has expired