Are there any census documents for Barbados in the early 1900s?

Answer 1

I would have said yes, but apparently there isn't. At least according to one website I found:

"The West Indies
Each of the small administrative groups here included takes its census independently of the rest, though since 1871 all take it about the date fixed for that of the United Kingdom. The information required differs in each group, but the schedule is, as a rule, of a simple character, and the results of the inquiry are usually set forth with comparatively little comment or analysis. In some of the groups distinctions of colour are returned in general terms; in others, not at all. On the other hand, considerable detail is included regarding the indentured labourers recruited from India, and those of this class who are permanently settled on the land in Guiana and Trinidad. No census was taken in the former, or in Jamaica and Barbados, in 1901."

http://www.1911encyclopedia.org/Census

I cannot vouch for the accuracy of this site.

Good luck. There must be something and maybe somebody more knowledgeable than me will answer this question.