Tot'ty adjective [ Middle English toti . Confer Totter .] Unsteady; dizzy; tottery. [ Obsolete or Prov. Eng.] Sir W. Scott. « For yet his noule [ head] was totty of the must.» Spenser. Found on http://www.encyclo.co.uk/webster/T/75
If a chap is out looking for totty, he is looking for a nice girl to chat up. There is an Italian football player called Totti Found on https://www.encyclo.co.uk/local/22179