GRONI online has a birth registered in Cookstown for a Charles Taylor born 28 April 1886:
https://geni.nidirect.gov.uk/Critically, the Mother's maiden name coming back is "Crooks".
If you wish further assurance, you can pay to view more detail online, my recommendation would be the "Full" option.
Edited to add: GRONI online also has the siblings either side of Charles on the 1901 census record:
- Jessie Taylor (wrongly transcribed as Lissie on the 1901 census), born 1 July 1883, mother's maiden name = "Crooks", registered Cookstown; and
- Jane Taylor, born 14 September 1888, mother's maiden name = "Crook", registered Cookstown.