An interesting story

If you look closely at the spire there is a golden eagle on top due to this mistake

There have been several suggestions as to the meaning of the name Eaglesham but the most likely explanation is that Eaglesham means kirkton or church town derived from the Gaelic word eaglais meaning church and the Saxon ham meaning hamlet or village. Rev. Alexander Dobin writing in The Statistical Account of Scotland, suggested that one of the woods in the Parish was much frequented by eagles. However fifty years later his successor, Rev. William Colville was unimpressed by his predecessor's explanation and considered the statement as 'utterly unfounded and evidently proceeds on a vulgar mistake' since 'its [the golden eagle] habits of resort are not lowland woods, but remote mountainous districts'. The Rev. James Brown Johnston, writer of Place-Names of Scotland suggested that the name Eaglesham was derived from the Swiss Egil or Egli meaning a man and hám or home. Whatever the explanation, this didn't stop the villagers from adopting the eagle as an emblem which was used to adorn the weather vane atop the parish church steeple or appearing on the Feuars' Association flag
Campbell