During the 1700's at the very least my current textbook (for U.S history) refers to those who believe in adult baptism as baptists but my previous (Euro) textbook calls the same people anabaptists. Is there a difference?
Yes, historically.
In brief, the term Baptist refers to English language groups that arose out of the Puritans and Separatists in the 16th and 17th century. General Baptists tend to derive their historical origin from John Smyth, who led a Baptist Church, of English religious exiles, in Amstersdam around 1609. In 1611 Thomas Helwys led a group of these back to London and thus General Baptists got their start in England. The US denominations tend to derive from these.
Then there were Particular Baptists, who were more Calvinist in theology. They appear to have emerged out of a a Separatist church in the 1630s.
Anabaptist as a term tends to refer to those groups, and now denominations, that emerged in continental Europe as the 'radical' wing of the Reformation. Their nost obvious feature was their rejection of infant baptism, but they rejected the developments of Luther and Lutheranism in favour of a range of more extreme reforms.
Anabaptist groups were plentiful, but!among their most successful and long lived forms, are Mennonites, Brethren, and similar groups.
Hence the terminology difference.