Hello Lin,
Here is the 1881. census for what looks like your people.
Address Bairds Row, Blantyre, Lanark.
John Feeney, Head, Coal Miner, M. age 25 years, M. born Buckburn, Linlithgow,
Mary Feeney, Wife, M. age 25 years, F. born Whifflet, Lanark,
Roger Feeney, Son, age 2 years, M. born Blantyre, Lanark,
Roger Feeney, Father, Coal miner, W. age 67 years, M. born Sligo, Ireland.
You will find that although the name is correctly spelt on this census, you will most likely find when you try to find this name Feeney, on the Scottish Records, at Scotlandspeople, you will have lots of variations on the spelling which you will perhaps find difficult to believe.
Regards,Jonn.