Among the confirmed cases, 43 were not immunized against the highly contagious disease.
To further limit the spread of the virus, health officials ask that people who think they might have measles call their doctor or health care provider before visiting a hospital or doctor's office. The outbreak in Clark County has been concentrated mostly among unvaccinated children.
The Texas cases follow dozens in Washington state, where 49 confirmed cases turned up last month.
The department did not release any information about the person who contracted measles, citing patient confidentiality.
"These outbreaks are associated with travelers who brought measles back from Israel and Ukraine, where large measles outbreaks are occurring", the CDC says.
Five new cases of measles have been diagnosed in the Houston area, part of a national trend that's seeing a return of the once-eradicated disease.
The case has not been linked to any other cases at this time, the health department said.
The HSE says while the majority of children in Donegal still receive the MMR vaccine, the numbers have been dropping slightly over the past few years.
Health officials are encouraging everyone to protect themselves from the virus by being vaccinated. One person had one dose of the vaccine, which is 93 percent effective.
"Vaccination is the most effective way to prevent measles", Denton County public health director Dr. Matt Richardson said in a written statement. As the threat of measles has become all too real in Clark County, residents are lining up for vaccines, according to data first reported by Kaiser Health News.
Multnomah County officials have reported a steep uptick in vaccinations over this time previous year.
The virus can linger in the air for up to two hours after an infected person leaves the area, and causes fever, cough, runny nose, red eyes and a rash.