Red Book vs. PCGS (not for pricing)

I have been putting together a Type Set based on the Red Book. For Seated Liberty Quarters, the Red Book and PCGS lists are different, any thoughts as to what to follow?

RED BOOK:
Seated Liberty Quarter Type 1, No Motto (1838-1853, 1856-1865)
Seated Liberty Quarter Type 2, Arrows & Rays (1853)
Seated Liberty Quarter Type 3, Arrows, No Rays (1854-1855)
Seated Liberty Quarter Type 4, Motto (1866-1873, 1875-1891)
Seated Liberty Quarter Type 5, Arrows at Date (1873-1874)
Seated Liberty Quarter Type 6, With Motto, Arrows at Date (1873-1874)

PCGS:
Liberty Seated Quarter Type 1, No Drapery (1838-1840)
Liberty Seated Quarter Type 2, No Motto (1840-1865)
Liberty Seated Quarter Type 3, Arrows & Rays (1853)
Liberty Seated Quarter Type 4, No Motto, Arrows at Date (1854-1855)
Liberty Seated Quarter Type 5, With Motto (1866-1891)
Liberty Seated Quarter Type 6, With Motto, Arrows at Date (1873-1874)

HELP?

 

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I followed my conscience Red Book won.