I think this might be a possible record on the 1871 Census transcribed as Jeannie Gitman
On Ancestry

Address 100.Orchard Street Partick Govan Lanarkshire
Robt Kennedy born Ireland 38 labourer
Margaret Kennedy born Ireland 32 wife
Son's George and Robert Kennedy
Jeannie Gitman born about 1857 Partick age 14 years domestic servant
If you check on Scotland's People you will find her as Jeanie Gilmour age 14 in Partick Govan ref number 643/3/9/20 matches with the Kennedy family
Rosie