I have a Jeremiah Brooks who was listed in the Caswell Co., NC taxables for 1777. This is probably not your Jeremiah Brooks of Person Co., NC, though because you say he was born in 1773; he would not be old enough to be taxed in 1777.
Jeremiah Brooks is not listed on the 1790 Caswell Co census, however, he is listed on the 1800 Caswell Co census. According to the 1800 census report, Jeremiah Brooks, p. 117, there was 1m < 10, 1m 16-25, 1m 26-44, 2f < 10, & 2f 16-25; + 0 slaves; Assuming Jeremiah is the oldest male, he was born between 1756-1774. If he is the same Jeremiah listed on the 1777 tax list, then he was born probably in 1756 (had to be at least 21 to be taxed);
Jeremiah Brooks purchased items from the estate of John Shearman, 10 Nov 1795 in Caswell Co., NC (Caswell Co Will Book C, p. 164, July Court 1796); and from George Farley's estate in 1800 (Caswell Co Book C, p. 423, January court 1800);
This is the last I see of Jeremiah in Caswell Co., NC.
Jeremiah Brooks is then enumerated in Person Co., NC census in 1810. He has 3m < 10, 1m 10-15, 1m 26-44; 1f < 10, 1f 10-15, 1f 26-44; Assuming he is the oldest male, he was born between 1766-1784. Since this Jeremiah is younger than the Jeremiah from Caswell Co NC on the 1777 tax list (b. abt 1756), it is probably these two Jeremiahs are NOT the same person. However, I did not find Jeremiah Brooks on an 1800 Person Co. Census report, so it is possible that there were in deed two different Jeremiah Brooks' in Caswell Co prior to 1800. And one of them moved to Person while the other stayed behind.