Welcome Anny!

I am not suggesting any book but sharing my experience about the books I have used. My experience with violin was during the first year, I have an indirect teacher - I sat in my daughter's lessons. I used Mel Bay  along with Suzuki book 1. The pieces in Mel Bay are easy for beginner and may be level 1, as long as you could read music.  It comes with CD and DVD. The video clip has close up for fingerings.

As for Suzuki book 1, my understanding of it is: there are new techniques in each piece; each piece is build on the previous piece with new techniques add onto it. For example, like someone else said, go tell aunt rhody, song of the wind, and allegro has a couple measure that are the same. So it's like learning a language, you first learn words/vocabulary then you have two, three word phrase, then you have sentences, then an essay. I think one could self-taught him/herself using Suzuki book 1 as long as you could read music. Suzuki book 1 consists of prep level (up to perpectual motion) and level 1. Musical notations explanation and fingering chart are at the back of the book. Most of the pieces has some exercises. scales A, D, G and arpeggios are introduced.

I have also used solos for young violinists. This is a book that has pieces for entry level to about level 3. you could get CD, but the violinist plays really fast, so I am not sure if it helps other than getting familiar with the pieces. I could never play along with the violinist. The book has 21 pieces,  the first nine are probably for beginner to level 1, then 5 of them are probably in level 2, and the rest of them are level 3. The levels are just my approximate guess. A few scales are provided, no explanation provided; therefore, as a beginner and self learner, I would not choose this book.

The sassmannshaus is from very beginning, open strings and such. It does show you where to place your fingers (pictures), finger patterns and such but progress slowly. If you already know how to read music, it would be pretty boring. Volume has scale exercises and triads (arpeggios). Book 2 has songs like old macdonald, lightly row, go tell aunt rhody, etc. Volume 2 is probably equivalent to second section of Suzuki book 1. Volume 3 has longer pieces, but I am not familiar with them. Fourth finger and half step are introduced in this concept.

simply violin favorite songs for violin in first position, as tittle indicated. Fingering chart up to fourth position provided at the back.songs like this old man, can can, row row row your boat, long long ago, to greensleeves and star spangled banner. I got this book mainly for lyrics for children's songs.