Lateness of the hour last night meant I had to leave before your next question.
Yes, I too had some problems finding Matilda. Initially I tried at ellisisland.org with soundex, but to no avail. I had used findmypast.com for the outward record, which thankfully was under McKeown (I didn't mean to say earlier that this too was mis-transcribed). Anyhow, when searching at findmypast, I used a +/- 2yr range for birth and a likely match for Matilda appeared as 1882 birth (not unusual for there to be variance).
From this likely match record, I then re-visited ellisisland.org and used the search by ship option, as I now had name of same. Doing this presented a list dates of arrival for the 'State of Nebraska'. Choosing the correct year of arrival from this, then date on next screen, I was presented with a transcribed list of passengers from which it was then easy to spot a 'Matilda Mc Keonn (with space between the c and k)'. On the same transcript list, it stated her residence as having been 'Tanelaght', so I was happy that it was probably Matilda McKeown of Tamlaght. I then viewed the original ship manifest and fully satisfied myself that it was indeed Matilda as, to my eye, the writing clearly said 'McKeown' and 'Tamlaght'.
I haven't had the opportunity to check the rest of the entry more fully yet. If you view it, you will see that it does record her as going to join her sister, a Mary McKeown. The final destination column seems to read 'Munford' and the adjoining column says she has a ticket as far as 'Boston'. The relative's address column, seems to read 'Munford, Mass.,' but at the moment I am not finding such a placename in Massachusetts - perhaps you know otherwise. Something does seem to have been written across adjoining columns too, but this is not proving as easy to read - based on similar in same columns of other passengers, possibly is an address clarification and reads '____ Hill' perhaps.
Whereabouts in US did Matilda finally settle?