The site of Cuello is named for the Rum Distillery which nearly lies within the site itself. Cuello boasts being one of the earliest known Maya sites, with occupation dating between 2500 B.C. and 1000 B.C.
[Source: The Belize Virtual Guide, cited 2003]
Distillery was operating in 1997.
[Source: Worldwide Directory of Distilleries by John E. Murtagh, cited 1997]
Cuello is a family-owned business with roots that go back 60 years in the country. The family patriarch, Ignacio Cuello, started making strong rum back in the 1950s. Over time he tweaked his recipe and methods while slowly perfecting his signature style. Ten years later, the business-side of things developed under the leadership of Hilberto Cuello and the brand was under full-scale operation in the late 1960s. They added several varieties of rum to the line along with other spirits to meet market demands. The next generation of Cuellos took over in 2009 and have been pushing the brand’s distribution and visibility.
[Source: Rum Connection (relevant page), cited 2013]
Here are full texts from the labels
bz_3: Caribbean White; Rums of Belize; Rum; Product of Belize; Cuello's Distillery Ltd; Orange Walk Town, Belize
bz_5: Caribbean Extra Strong; Rums of Belize; Product of Belize; Cuello's Distillery Ltd; Orange Walk Town, Belize
bz_4: Caribbean Rum; Rums of Belize; Product of Belize; Cuello's Distillery Ltd; Orange Walk Town, Belize
bz_6: Caribbean Coconut; Rums of Belize; Product of Belize; Cuello's Distillery Ltd; Orange Walk Town, Belize