I'm sorry about this. It didn't occur to me that 'Kirkby Lonsdale' in a familysearch entry doesn't necessarily mean 'Kirkby Lonsdale'. Which is what I now find to be the case.

I did a google search on the GS film number for the Wilkinson entry ( 1471665), and came up with this:
Firbank, Westmoreland, England - Church records
Title: Parish registers for Kirkby-Lonsdale, 1538-1910
Authors: Church of England. Parish Church of Kirkby-Lonsdale (Westmoreland)
Film Items:
Microfilm
1471665 Draft register of baptisms, marriages, burials, 1738-1769; Draft register of baptisms, 1778-1831; Draft register of burials, 1778-1830; Draft register of banns and churchings, 1784-1812; Draft register of baptisms at Mansergh and Lupton chapels, 1759-1789; Draft register of baptisms at Hutton Roof Chapel, 1766-1799; Transcript of register, 1538-1616.
So from this I think it looks as though the baptism of Emanuel Theobalds Wilkinson may be in the register for Firbank, or Hutton Roof Chapel. Which at least explains why it isn't in the Kirkby Lonsdale register, but you've suffered a wasted journey, which I can only apologise for.